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20021220121120 = 2551087720715973
BaseRepresentation
bin1001000110101100011011…
…01101101001101000100000
32121220000021020212100102121
410203112031231221220200
510111011424322333440
6110325342130554024
74134325333046131
oct443261555515040
977800236770377
1020021220121120
116419a51896119
1222b42b6138914
13b22cba6a941a
144d30645cdc88
1524abe7cb434a
hex12358db69a20

20021220121120 has 96 divisors (see below), whose sum is σ = 47353180428288. Its totient is φ = 7999509500928.

The previous prime is 20021220121087. The next prime is 20021220121121. The reversal of 20021220121120 is 2112102212002.

It is a happy number.

20021220121120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20021220121094 and 20021220121103.

It is not an unprimeable number, because it can be changed into a prime (20021220121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253433454 + ... + 1253449426.

It is an arithmetic number, because the mean of its divisors is an integer number (493262296128).

Almost surely, 220021220121120 is an apocalyptic number.

20021220121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021220121120 is an abundant number, since it is smaller than the sum of its proper divisors (27331960307168).

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

20021220121120 is a wasteful number, since it uses less digits than its factorization.

20021220121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24274 counting only the distinct ones).

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

Adding to 20021220121120 its reverse (2112102212002), we get a palindrome (22133322333122).

The spelling of 20021220121120 in words is "twenty trillion, twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1087 2174 4348 5435 7207 8696 10870 14414 15973 17392 21740 28828 31946 34784 36035 43480 57656 63892 72070 79865 86960 115312 127784 144140 159730 173920 230624 255568 288280 319460 511136 576560 638920 1153120 1277840 2555680 7834009 15668018 17362651 31336036 34725302 39170045 62672072 69450604 78340090 86813255 115117411 125344144 138901208 156680180 173626510 230234822 250688288 277802416 313360360 347253020 460469644 555604832 575587055 626720720 694506040 920939288 1151174110 1253441440 1389012080 1841878576 2302348220 2778024160 3683757152 4604696440 9209392880 18418785760 125132625757 250265251514 500530503028 625663128785 1001061006056 1251326257570 2002122012112 2502652515140 4004244024224 5005305030280 10010610060560 20021220121120