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1120122212020 = 2257223139357517
BaseRepresentation
bin10000010011001100011…
…111001000111010110100
310222002020020120001100121
4100103030133020322310
5121323002241241040
62214324350221324
7143632446464500
oct20231437107264
93862206501317
101120122212020
113a204a872789
121611067b4844
138181c8a28c6
143c2ddac3300
151e20c30cc4a
hex104cc7c8eb4

1120122212020 has 144 divisors (see below), whose sum is σ = 2875817589120. Its totient is φ = 364700641536.

The previous prime is 1120122211987. The next prime is 1120122212039. The reversal of 1120122212020 is 202122210211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120122211985 and 1120122212003.

It is a congruent number.

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, 2954302 + ... + 3311818.

It is an arithmetic number, because the mean of its divisors is an integer number (19970955480).

Almost surely, 21120122212020 is an apocalyptic number.

1120122212020 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 1120122212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437908794560).

1120122212020 is an abundant number, since it is smaller than the sum of its proper divisors (1755695377100).

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

1120122212020 is a wasteful number, since it uses less digits than its factorization.

1120122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357702 (or 357693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1120122212020 its reverse (202122210211), we get a palindrome (1322244422231).

The spelling of 1120122212020 in words is "one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 139 140 161 196 230 245 278 322 460 490 556 644 695 805 973 980 1127 1390 1610 1946 2254 2780 3197 3220 3892 4508 4865 5635 6394 6811 9730 11270 12788 13622 15985 19460 22379 22540 27244 31970 34055 44758 63940 68110 89516 111895 136220 156653 223790 313306 357517 447580 626612 715034 783265 1430068 1566530 1787585 2502619 3133060 3575170 5005238 7150340 8222891 10010476 12513095 16445782 17518333 25026190 32891564 35036666 41114455 49694863 50052380 57560237 70073332 82228910 87591665 99389726 115120474 164457820 175183330 198779452 230240948 248474315 287801185 347864041 350366660 402921659 496948630 575602370 695728082 805843318 993897260 1142981849 1151204740 1391456164 1611686636 1739320205 2014608295 2285963698 2435048287 3478640410 4029216590 4571927396 4870096574 5714909245 6957280820 8000872943 8058433180 9740193148 11429818490 12175241435 16001745886 22859636980 24350482870 32003491772 40004364715 48700965740 56006110601 80008729430 112012221202 160017458860 224024442404 280030553005 560061106010 1120122212020