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12512209768 = 2341593591801
BaseRepresentation
bin10111010011100100…
…10010101101101000
31012021222221010001121
423221302102231220
5201111111203033
65425324025024
7622031012452
oct135162225550
935258833047
1012512209768
1153408a8433
122512392174
131245303226
14869a712d2
154d36eb62d
hex2e9c92b68

12512209768 has 64 divisors (see below), whose sum is σ = 24521616000. Its totient is φ = 5980032000.

The previous prime is 12512209757. The next prime is 12512209769. The reversal of 12512209768 is 86790221521.

12512209768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×125122097683 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12512209769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6946468 + ... + 6948268.

It is an arithmetic number, because the mean of its divisors is an integer number (383150250).

Almost surely, 212512209768 is an apocalyptic number.

It is an amenable number.

12512209768 is a deficient number, since it is larger than the sum of its proper divisors (12009406232).

12512209768 is a wasteful number, since it uses less digits than its factorization.

12512209768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 12512209768 in words is "twelve billion, five hundred twelve million, two hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 41 59 82 118 164 236 328 359 472 718 1436 1801 2419 2872 3602 4838 7204 9676 14408 14719 19352 21181 29438 42362 58876 73841 84724 106259 117752 147682 169448 212518 295364 425036 590728 646559 850072 868421 1293118 1736842 2586236 3473684 4356619 5172472 6947368 8713238 17426476 26508919 34852952 38146981 53017838 76293962 106035676 152587924 212071352 305175848 1564026221 3128052442 6256104884 12512209768