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12375317474520 = 233572111371207293
BaseRepresentation
bin1011010000010101101001…
…1001101110110011011000
31121211001212011010021010220
42310011122121232303120
53110224122233141040
642153050430040040
72415041621631600
oct264053231566330
947731764107126
1012375317474520
113a413850aa510
12147a504949020
136b9cab500260
1430ad7ba39c00
15166d9c9582d0
hexb415a66ecd8

12375317474520 has 768 divisors, whose sum is σ = 51452427156480. Its totient is φ = 2340243763200.

The previous prime is 12375317474501. The next prime is 12375317474539. The reversal of 12375317474520 is 2547471357321.

12375317474520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12375317474501) and next prime (12375317474539).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59595994 + ... + 59803286.

It is an arithmetic number, because the mean of its divisors is an integer number (66995347860).

Almost surely, 212375317474520 is an apocalyptic number.

12375317474520 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 12375317474520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25726213578240).

12375317474520 is an abundant number, since it is smaller than the sum of its proper divisors (39077109681960).

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

12375317474520 is a wasteful number, since it uses less digits than its factorization.

12375317474520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207416 (or 207405 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 12375317474520 in words is "twelve trillion, three hundred seventy-five billion, three hundred seventeen million, four hundred seventy-four thousand, five hundred twenty".