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12316711680 = 2832571331379
BaseRepresentation
bin10110111100010001…
…00001101100000000
31011210101001210002200
423132020201230000
5200211034233210
65354101513200
7614135215260
oct133610415400
934711053080
1012316711680
11525050a869
122478a12800
1312139640a0
1484bb017a0
154c14810c0
hex2de221b00

12316711680 has 864 divisors, whose sum is σ = 54283407360. Its totient is φ = 2508226560.

The previous prime is 12316711679. The next prime is 12316711721. The reversal of 12316711680 is 8611761321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 32497731 + ... + 32498109.

Almost surely, 212316711680 is an apocalyptic number.

12316711680 is a gapful number since it is divisible by the number (10) 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 12316711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141703680).

12316711680 is an abundant number, since it is smaller than the sum of its proper divisors (41966695680).

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

12316711680 is a wasteful number, since it uses less digits than its factorization.

12316711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12316711680 in words is "twelve billion, three hundred sixteen million, seven hundred eleven thousand, six hundred eighty".