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212010101222112 = 25327331004292203
BaseRepresentation
bin110000001101001001110010…
…110001011010101011100000
31000210122222010110221102010100
4300031021302301122223200
5210242033141403101422
62030524032415502400
762441136643314264
oct6015116261325340
91023588113842110
10212010101222112
1161609a850588a6
121b940b89b27a00
13913b60b619a6b
143a4d4b4d940a4
151979d08bb47ac
hexc0d272c5aae0

212010101222112 has 72 divisors (see below), whose sum is σ = 603726241265784. Its totient is φ = 70573621618944.

The previous prime is 212010101222099. The next prime is 212010101222113. The reversal of 212010101222112 is 211222101010212.

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 not an unprimeable number, because it can be changed into a prime (212010101222113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501934998 + ... + 502357205.

It is an arithmetic number, because the mean of its divisors is an integer number (8385086684247).

Almost surely, 2212010101222112 is an apocalyptic number.

It is an amenable number.

212010101222112 is an abundant number, since it is smaller than the sum of its proper divisors (391716140043672).

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

212010101222112 is a wasteful number, since it uses less digits than its factorization.

212010101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004292952 (or 1004292941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212010101222112 its reverse (211222101010212), we get a palindrome (423232202232324).

The spelling of 212010101222112 in words is "two hundred twelve trillion, ten billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 17592 23456 26388 35184 52776 70368 105552 211104 1004292203 2008584406 3012876609 4017168812 6025753218 8034337624 9038629827 12051506436 16068675248 18077259654 24103012872 32137350496 36154519308 48206025744 72309038616 96412051488 144618077232 289236154464 736146184799 1472292369598 2208438554397 2944584739196 4416877108794 5889169478392 6625315663191 8833754217588 11778338956784 13250631326382 17667508435176 23556677913568 26501262652764 35335016870352 53002525305528 70670033740704 106005050611056 212010101222112