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12013010032221 = 32112936711401253
BaseRepresentation
bin1010111011001111111100…
…1100100001011001011101
31120112102200022202012212200
42232303333030201121131
53033310121032012341
641314411200122113
72346624405322422
oct256637714413135
946472608665780
1012013010032221
113911763a91650
121420250906339
13691a8bb949c3
142d760b7d9d49
1515c7451a4db6
hexaecff32165d

12013010032221 has 48 divisors (see below), whose sum is σ = 19635695688960. Its totient is φ = 7010401829760.

The previous prime is 12013010032141. The next prime is 12013010032301. The reversal of 12013010032221 is 12223001031021.

12013010032221 is a `hidden beast` number, since 1 + 20 + 1 + 301 + 0 + 0 + 322 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (12013010032141) and next prime (12013010032301).

It is not a de Polignac number, because 12013010032221 - 239 = 11463254218333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12013010032194 and 12013010032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013010039221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4646970 + ... + 6754283.

It is an arithmetic number, because the mean of its divisors is an integer number (409076993520).

Almost surely, 212013010032221 is an apocalyptic number.

12013010032221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12013010032221 is a deficient number, since it is larger than the sum of its proper divisors (7622685656739).

12013010032221 is a wasteful number, since it uses less digits than its factorization.

12013010032221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401666 (or 11401663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013010032221 its reverse (12223001031021), we get a palindrome (24236011063242).

The spelling of 12013010032221 in words is "twelve trillion, thirteen billion, ten million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 367 957 1101 2871 3303 4037 10643 12111 31929 36333 95787 117073 351219 1053657 11401253 34203759 102611277 125413783 330636337 376241349 991909011 1128724047 2975727033 3636999707 4184259851 10910999121 12552779553 32732997363 37658338659 46026858361 121343535679 138080575083 364030607037 414241725249 1092091821111 1334778892469 4004336677407 12013010032221