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12212413344 = 2532175924107
BaseRepresentation
bin10110101111110101…
…01010001110100000
31011112002210212200100
423113322222032200
5200002334211334
65335454222400
7611430541425
oct132772521640
934462725610
1012212413344
1151a765299a
122449ab4a00
1311c8176cb1
1483bd11d4c
154b722cc99
hex2d7eaa3a0

12212413344 has 72 divisors (see below), whose sum is σ = 34750235520. Its totient is φ = 4068321408.

The previous prime is 12212413321. The next prime is 12212413351. The reversal of 12212413344 is 44331421221.

12212413344 is a `hidden beast` number, since 1 + 2 + 212 + 413 + 34 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 494539 + ... + 518645.

It is an arithmetic number, because the mean of its divisors is an integer number (482642160).

Almost surely, 212212413344 is an apocalyptic number.

It is an amenable number.

12212413344 is an abundant number, since it is smaller than the sum of its proper divisors (22537822176).

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

12212413344 is a wasteful number, since it uses less digits than its factorization.

12212413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25882 (or 25871 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12212413344 its reverse (44331421221), we get a palindrome (56543834565).

The spelling of 12212413344 in words is "twelve billion, two hundred twelve million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1759 3518 5277 7036 10554 14072 15831 21108 24107 28144 31662 42216 48214 56288 63324 72321 84432 96428 126648 144642 168864 192856 216963 253296 289284 385712 433926 506592 578568 771424 867852 1157136 1735704 2314272 3471408 6942816 42404213 84808426 127212639 169616852 254425278 339233704 381637917 508850556 678467408 763275834 1017701112 1356934816 1526551668 2035402224 3053103336 4070804448 6106206672 12212413344