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112112112001221 = 32232865131890331
BaseRepresentation
bin11001011111011100100010…
…100111000110000011000101
3112200221210221211220101110200
4121133130202213012003011
5104143321101133014341
61034235332050041113
732420555435355213
oct3137344247060305
9480853854811420
10112112112001221
11327a4530516942
12106a80b3579199
134a73185762c97
141d983802a5cb3
15ce645ee20db6
hex65f7229c60c5

112112112001221 has 24 divisors (see below), whose sum is σ = 168981253786176. Its totient is φ = 71491494222720.

The previous prime is 112112112001199. The next prime is 112112112001319. The reversal of 112112112001221 is 122100211211211.

It is a happy number.

112112112001221 is a `hidden beast` number, since 1 + 1 + 211 + 211 + 20 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 112112112001221 - 210 = 112112112000197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112112001194 and 112112112001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112112001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58363026 + ... + 60253356.

It is an arithmetic number, because the mean of its divisors is an integer number (7040885574424).

Almost surely, 2112112112001221 is an apocalyptic number.

It is an amenable number.

112112112001221 is a deficient number, since it is larger than the sum of its proper divisors (56869141784955).

112112112001221 is a wasteful number, since it uses less digits than its factorization.

112112112001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176873 (or 2176870 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112112001221 its reverse (122100211211211), we get a palindrome (234212323212432).

The spelling of 112112112001221 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twelve million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 286513 859539 1890331 2578617 5670993 6589799 17012979 19769397 43477613 59308191 130432839 391298517 541604405803 1624813217409 4874439652227 12456901333469 37370704000407 112112112001221