12956682240 has 576 divisors, whose sum is σ = 48080148480. Its totient is φ = 3344302080.

The previous prime is 12956682223. The next prime is 12956682287. The reversal of 12956682240 is 4228665921.

12956682240 is a `hidden beast` number, since 1 + 2 + 9 + 566 + 82 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12956682240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102021057 + ... + 102021183.

It is an arithmetic number, because the mean of its divisors is an integer number (83472480).

Almost surely, 2^12956682240 is an apocalyptic number.

12956682240 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 12956682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040074240).

12956682240 is an abundant number, since it is smaller than the sum of its proper divisors (35123466240).

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

12956682240 is an equidigital number, since it uses as much as digits as its factorization.

12956682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12956682240 in words is "twelve billion, nine hundred fifty-six million, six hundred eighty-two thousand, two hundred forty".