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12319211520 = 214325721131
BaseRepresentation
bin10110111100100100…
…00100000000000000
31011210112202210020100
423132102010000000
5200212204232040
65354231242400
7614165366400
oct133622040000
934715683210
1012319211520
115251967a50
122479819400
13121432ab95
1484c192800
154c17c6b30
hex2de484000

12319211520 has 1080 divisors, whose sum is σ = 55941919488. Its totient is φ = 2477260800.

The previous prime is 12319211503. The next prime is 12319211537. The reversal of 12319211520 is 2511291321.

12319211520 is a `hidden beast` number, since 12 + 31 + 92 + 11 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (12319211503) and next prime (12319211537).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397393905 + ... + 397393935.

Almost surely, 212319211520 is an apocalyptic number.

12319211520 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 12319211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970959744).

12319211520 is an abundant number, since it is smaller than the sum of its proper divisors (43622707968).

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

12319211520 is a wasteful number, since it uses less digits than its factorization.

12319211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 12319211520 in words is "twelve billion, three hundred nineteen million, two hundred eleven thousand, five hundred twenty".