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12021111121032 = 2334131427007493
BaseRepresentation
bin1010111011101110001000…
…0011101110010010001000
31120120012120220101011120000
42232323202003232102020
53033423213421333112
641322231110403000
72350332224411226
oct256734203562210
946505526334500
1012021111121032
113915140924572
121421931960460
13692780340090
142d7b79699b16
1515ca6b4bc7dc
hexaeee20ee488

12021111121032 has 80 divisors (see below), whose sum is σ = 36260260422540. Its totient is φ = 3698803419264.

The previous prime is 12021111121001. The next prime is 12021111121037. The reversal of 12021111121032 is 23012111112021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9225640815876 + 2795470305156 = 3037374^2 + 1671966^2 .

It is a super-2 number, since 2×120211111210322 (a number of 27 digits) contains 22 as substring.

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 = 12021111120996 and 12021111121014.

It is not an unprimeable number, because it can be changed into a prime (12021111121037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 713495323 + ... + 713512170.

Almost surely, 212021111121032 is an apocalyptic number.

12021111121032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12021111121032 is an abundant number, since it is smaller than the sum of its proper divisors (24239149301508).

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

12021111121032 is a wasteful number, since it uses less digits than its factorization.

12021111121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427007524 (or 1427007511 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12021111121032 its reverse (23012111112021), we get a palindrome (35033222233053).

The spelling of 12021111121032 in words is "twelve trillion, twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 1427007493 2854014986 4281022479 5708029972 8562044958 11416059944 12843067437 17124089916 18551097409 25686134874 34248179832 37102194818 38529202311 51372269748 55653292227 74204389636 77058404622 102744539496 111306584454 115587606933 148408779272 154116809244 166959876681 222613168908 231175213866 308233618488 333919753362 445226337816 462350427732 500879630043 667839506724 924700855464 1001759260086 1335679013448 1502638890129 2003518520172 3005277780258 4007037040344 6010555560516 12021111121032