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12316820880 = 24357135471031
BaseRepresentation
bin10110111100010001…
…11100010110010000
31011210101021022220010
423132020330112100
5200211101232010
65354104114520
7614136151530
oct133610742620
934711238803
1012316820880
115250584911
122478a65a40
1312139a19c0
1484bb2d4c0
154c14a3620
hex2de23c590

12316820880 has 320 divisors, whose sum is σ = 47124983808. Its totient is φ = 2591447040.

The previous prime is 12316820819. The next prime is 12316820897. The reversal of 12316820880 is 8802861321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11945965 + ... + 11946995.

Almost surely, 212316820880 is an apocalyptic number.

12316820880 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 12316820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23562491904).

12316820880 is an abundant number, since it is smaller than the sum of its proper divisors (34808162928).

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

12316820880 is a wasteful number, since it uses less digits than its factorization.

12316820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 12316820880 in words is "twelve billion, three hundred sixteen million, eight hundred twenty thousand, eight hundred eighty".