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12307138912 = 253773142391
BaseRepresentation
bin10110111011001000…
…00000100101100000
31011202201001102201201
423131210000211200
5200201111421122
65353120410544
7613660645315
oct133544004540
934681042651
1012307138912
115246071692
122475776a54
131211991b23
1484a72cd0c
154c06dea27
hex2dd900960

12307138912 has 48 divisors (see below), whose sum is σ = 25225597152. Its totient is φ = 5905198080.

The previous prime is 12307138897. The next prime is 12307138913. The reversal of 12307138912 is 21983170321.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307138913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15237 + ... + 157627.

It is an arithmetic number, because the mean of its divisors is an integer number (525533274).

Almost surely, 212307138912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12307138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612798576).

12307138912 is an abundant number, since it is smaller than the sum of its proper divisors (12918458240).

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

12307138912 is a wasteful number, since it uses less digits than its factorization.

12307138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142511 (or 142503 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 12307138912 in words is "twelve billion, three hundred seven million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 43216 86432 142391 284782 569564 1139128 2278256 4556512 5268467 10394543 10536934 20789086 21073868 41578172 42147736 83156344 84295472 166312688 168590944 332625376 384598091 769196182 1538392364 3076784728 6153569456 12307138912