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222001120022112 = 25321940570380121
BaseRepresentation
bin110010011110100010101001…
…111001100000111001100000
31002010001002200202110102200200
4302132202221321200321200
5213044231243211201422
62104053523454345200
764522023465021204
oct6236425171407140
91063032622412620
10222001120022112
1164811167771382
1220a95379abb200
1396b4800b78152
143cb6ca93a2b04
151a9eb5a3e12ac
hexc9e8a9e60e60

222001120022112 has 72 divisors (see below), whose sum is σ = 664542826398360. Its totient is φ = 70105616847360.

The previous prime is 222001120022051. The next prime is 222001120022141. The reversal of 222001120022112 is 211220021100222.

It is a happy number.

222001120022112 is a `hidden beast` number, since 2 + 220 + 0 + 11 + 200 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20285184589 + ... + 20285195532.

It is an arithmetic number, because the mean of its divisors is an integer number (9229761477755).

Almost surely, 2222001120022112 is an apocalyptic number.

It is an amenable number.

222001120022112 is an abundant number, since it is smaller than the sum of its proper divisors (442541706376248).

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

222001120022112 is a wasteful number, since it uses less digits than its factorization.

222001120022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40570380156 (or 40570380145 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222001120022112 its reverse (211220021100222), we get a palindrome (433221141122334).

The spelling of 222001120022112 in words is "two hundred twenty-two trillion, one billion, one hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 40570380121 81140760242 121711140363 162281520484 243422280726 324563040968 365133421089 486844561452 649126081936 730266842178 770837222299 973689122904 1298252163872 1460533684356 1541674444598 1947378245808 2312511666897 2921067368712 3083348889196 3894756491616 4625023333794 5842134737424 6166697778392 6937535000691 9250046667588 11684269474848 12333395556784 13875070001382 18500093335176 24666791113568 27750140002764 37000186670352 55500280005528 74000373340704 111000560011056 222001120022112