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12021011112120 = 2335881396728663
BaseRepresentation
bin1010111011101101110000…
…0110001110000010111000
31120120012022221012012010020
42232323130012032002320
53033423012321041440
641322213135050440
72350326601351113
oct256733406160270
946505287165106
1012021011112120
11391509a42737a
121421904370a20
136927656c54ca
142d7b6a2a557a
1515ca628153d0
hexaeedc18e0b8

12021011112120 has 128 divisors (see below), whose sum is σ = 36114328535040. Its totient is φ = 3201045534720.

The previous prime is 12021011112113. The next prime is 12021011112179. The reversal of 12021011112120 is 2121111012021.

It is a happy number.

12021011112120 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12021011112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419376909 + ... + 419405571.

It is an arithmetic number, because the mean of its divisors is an integer number (282143191680).

Almost surely, 212021011112120 is an apocalyptic number.

12021011112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021011112120 is an abundant number, since it is smaller than the sum of its proper divisors (24093317422920).

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

12021011112120 is a wasteful number, since it uses less digits than its factorization.

12021011112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33525 (or 33521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12021011112120 its reverse (2121111012021), we get a palindrome (14142122124141).

The spelling of 12021011112120 in words is "twelve trillion, twenty-one billion, eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 881 1762 2643 3524 3967 4405 5286 7048 7934 8810 10572 11901 13215 15868 17620 19835 21144 23802 26430 28663 31736 35240 39670 47604 52860 57326 59505 79340 85989 95208 105720 114652 119010 143315 158680 171978 229304 238020 286630 343956 429945 476040 573260 687912 859890 1146520 1719780 3439560 3494927 6989854 10484781 13979708 17474635 20969562 25252103 27959416 34949270 41939124 50504206 52423905 69898540 75756309 83878248 101008412 104847810 113706121 126260515 139797080 151512618 202016824 209695620 227412242 252521030 303025236 341118363 378781545 419391240 454824484 505042060 568530605 606050472 682236726 757563090 909648968 1010084120 1137061210 1364473452 1515126180 1705591815 2274122420 2728946904 3030252360 3411183630 4548244840 6822367260 13644734520 100175092601 200350185202 300525277803 400700370404 500875463005 601050555606 801400740808 1001750926010 1202101111212 1502626389015 2003501852020 2404202222424 3005252778030 4007003704040 6010505556060 12021011112120