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120201121222020 = 223254321017738919
BaseRepresentation
bin11011010101001010000001…
…001000011100110110000100
3120202121010002210211200220100
4123111022001020130312010
5111223333344013101040
61103351344402404100
734214146560313056
oct3325120110346604
9522533083750810
10120201121222020
1135333011325083
1211593948360630
13520bbbcb1a217
142197aa00158d6
15dd6a91253b30
hex6d528121cd84

120201121222020 has 144 divisors (see below), whose sum is σ = 373107628333440. Its totient is φ = 31306666987008.

The previous prime is 120201121221997. The next prime is 120201121222033. The reversal of 120201121222020 is 20222121102021.

It is a happy number.

120201121222020 is a `hidden beast` number, since 1 + 202 + 0 + 11 + 212 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120201121221984 and 120201121222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162302121 + ... + 163041039.

It is an arithmetic number, because the mean of its divisors is an integer number (2591025196760).

Almost surely, 2120201121222020 is an apocalyptic number.

120201121222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120201121222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186553814166720).

120201121222020 is an abundant number, since it is smaller than the sum of its proper divisors (252906507111420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120201121222020 is a wasteful number, since it uses less digits than its factorization.

120201121222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759994 (or 759989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120201121222020 its reverse (20222121102021), we get a palindrome (140423242324041).

The spelling of 120201121222020 in words is "one hundred twenty trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 21017 42034 63051 84068 105085 126102 189153 210170 252204 315255 378306 420340 630510 738919 756612 903731 945765 1261020 1477838 1807462 1891530 2216757 2711193 2955676 3614924 3694595 3783060 4433514 4518655 5422386 6650271 7389190 8133579 8867028 9037310 10844772 11083785 13300542 13555965 14778380 16267158 18074620 22167570 26601084 27111930 31773517 32534316 33251355 40667895 44335140 54223860 63547034 66502710 81335790 95320551 127094068 133005420 158867585 162671580 190641102 285961653 317735170 381282204 476602755 571923306 635470340 953205510 1143846612 1429808265 1906411020 2859616530 5719233060 15529860623 31059721246 46589581869 62119442492 77649303115 93179163738 139768745607 155298606230 186358327476 232947909345 279537491214 310597212460 465895818690 559074982428 667784006789 698843728035 931791637380 1335568013578 1397687456070 2003352020367 2671136027156 2795374912140 3338920033945 4006704040734 6010056061101 6677840067890 8013408081468 10016760101835 12020112122202 13355680135780 20033520203670 24040224244404 30050280305505 40067040407340 60100560611010 120201121222020