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112202211212112 = 2437809234126579
BaseRepresentation
bin11001100000110000011100…
…111100010011101101010000
3112201021102112000110112100110
4121200300130330103231100
5104201310112032241422
61034344552332521320
732430225251126310
oct3140603474235520
9481242460415313
10112202211212112
113282976613a5aa
1210701659620240
134a7b813cb0818
141d9c88a42b440
15ce8984d4860c
hex660c1cf13b50

112202211212112 has 80 divisors (see below), whose sum is σ = 331267845040640. Its totient is φ = 32057370711936.

The previous prime is 112202211212071. The next prime is 112202211212159. The reversal of 112202211212112 is 211212112202211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25126839 + ... + 29253417.

It is an arithmetic number, because the mean of its divisors is an integer number (4140848063008).

Almost surely, 2112202211212112 is an apocalyptic number.

112202211212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112202211212112 is an abundant number, since it is smaller than the sum of its proper divisors (219065633828528).

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

112202211212112 is a wasteful number, since it uses less digits than its factorization.

112202211212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207520 (or 4207514 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112202211212112 its reverse (211212112202211), we get a palindrome (323414323414323).

Subtracting 112202211212112 from its reverse (211212112202211), we obtain a palindrome (99009900990099).

The spelling of 112202211212112 in words is "one hundred twelve trillion, two hundred two billion, two hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 80923 161846 242769 323692 485538 566461 647384 971076 1132922 1294768 1699383 1942152 2265844 3398766 3884304 4126579 4531688 6797532 8253158 9063376 12379737 13595064 16506316 24759474 27190128 28886053 33012632 49518948 57772106 66025264 86658159 99037896 115544212 173316318 198075792 231088424 346632636 462176848 693265272 1386530544 333935152417 667870304834 1001805457251 1335740609668 2003610914502 2337546066919 2671481219336 4007221829004 4675092133838 5342962438672 7012638200757 8014443658008 9350184267676 14025276401514 16028887316016 18700368535352 28050552803028 37400737070704 56101105606056 112202211212112