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12956760000 = 2635543143
BaseRepresentation
bin11000001000100100…
…00111011111000000
31020102222102121100000
430010102013133000
5203013412310000
65541404200000
7636036433332
oct140422073700
936388377300
1012956760000
115549831618
122617239000
1312b64424c2
148acb11452
1550c760000
hex3044877c0

12956760000 has 840 divisors, whose sum is σ = 50834527744. Its totient is φ = 3265920000.

The previous prime is 12956759989. The next prime is 12956760013. The reversal of 12956760000 is 6765921.

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 119 ways as a sum of consecutive naturals, for example, 301319979 + ... + 301320021.

Almost surely, 212956760000 is an apocalyptic number.

12956760000 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 12956760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25417263872).

12956760000 is an abundant number, since it is smaller than the sum of its proper divisors (37877767744).

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

12956760000 is an frugal number, since it uses more digits than its factorization.

12956760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12956760000 in words is "twelve billion, nine hundred fifty-six million, seven hundred sixty thousand".