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12021100012020 = 22351149409368633
BaseRepresentation
bin1010111011101110000101…
…1001010110000111110100
31120120012120010110202212010
42232323201121112013310
53033423203100341040
641322230032324220
72350332031112361
oct256734131260764
946505503422763
1012021100012020
113915135627170
12142192a0a3670
1369277ac507b8
142d7b78007468
1515ca6a525e80
hexaeee16561f4

12021100012020 has 96 divisors (see below), whose sum is σ = 36719839175040. Its totient is φ = 2914139176960.

The previous prime is 12021100012007. The next prime is 12021100012021. The reversal of 12021100012020 is 2021000112021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021100011987 and 12021100012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021100012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32425624 + ... + 32794256.

It is an arithmetic number, because the mean of its divisors is an integer number (382498324740).

Almost surely, 212021100012020 is an apocalyptic number.

12021100012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021100012020 is an abundant number, since it is smaller than the sum of its proper divisors (24698739163020).

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

12021100012020 is a wasteful number, since it uses less digits than its factorization.

12021100012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418065 (or 418063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021100012020 its reverse (2021000112021), we get a palindrome (14042100124041).

It can be divided in two parts, 1202110001 and 2020, that added together give a palindrome (1202112021).

The spelling of 12021100012020 in words is "twelve trillion, twenty-one billion, one hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 49409 98818 148227 197636 247045 296454 368633 494090 543499 592908 737266 741135 988180 1086998 1105899 1474532 1482270 1630497 1843165 2173996 2211798 2717495 2964540 3260994 3686330 4054963 4423596 5434990 5529495 6521988 7372660 8109926 8152485 10869980 11058990 12164889 16219852 16304970 20274815 22117980 24329778 32609940 40549630 48659556 60824445 81099260 121648890 243297780 18213787897 36427575794 54641363691 72855151588 91068939485 109282727382 182137878970 200351666867 218565454764 273206818455 364275757940 400703333734 546413636910 601055000601 801406667468 1001758334335 1092827273820 1202110001202 2003516668670 2404220002404 3005275003005 4007033337340 6010550006010 12021100012020