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12203925216 = 253725172353
BaseRepresentation
bin10110101110110100…
…10001111011100000
31011111111211122011020
423113122101323200
5144443201101331
65334552245440
7611265436620
oct132732217340
934444748136
1012203925216
1151a288570a
1224470a0880
1311c6494632
1483ab42880
154b6602c96
hex2d7691ee0

12203925216 has 96 divisors (see below), whose sum is σ = 36758147328. Its totient is φ = 3472896000.

The previous prime is 12203925163. The next prime is 12203925263. The reversal of 12203925216 is 61252930221.

It is a tau number, because it is divible by the number of its divisors (96).

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, 132496 + ... + 204848.

It is an arithmetic number, because the mean of its divisors is an integer number (382897368).

Almost surely, 212203925216 is an apocalyptic number.

12203925216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379073664).

12203925216 is an abundant number, since it is smaller than the sum of its proper divisors (24554222112).

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

12203925216 is a wasteful number, since it uses less digits than its factorization.

12203925216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72624 (or 72616 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 12203925216 in words is "twelve billion, two hundred three million, nine hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 21084 24096 28112 42168 56224 72353 84336 144706 168672 217059 289412 434118 506471 578824 868236 1012942 1157648 1519413 1736472 2025884 2315296 3038826 3472944 4051768 6077652 6945888 8103536 12155304 16207072 18160603 24310608 36321206 48621216 54481809 72642412 108963618 127124221 145284824 217927236 254248442 290569648 381372663 435854472 508496884 581139296 762745326 871708944 1016993768 1525490652 1743417888 2033987536 3050981304 4067975072 6101962608 12203925216