12756852000 has 240 divisors, whose sum is σ = 46823088312. Its totient is φ = 3401740800.

The previous prime is 12756851999. The next prime is 12756852019. The reversal of 12756852000 is 25865721.

It is a happy number.

12756852000 is a `hidden beast` number, since 1 + 2 + 75 + 68 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7823756304 + 4933095696 = 88452^2 + 70236^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304314 + ... + 343686.

Almost surely, 2^12756852000 is an apocalyptic number.

12756852000 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 12756852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23411544156).

12756852000 is an abundant number, since it is smaller than the sum of its proper divisors (34066236312).

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

12756852000 is an equidigital number, since it uses as much as digits as its factorization.

12756852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39410 (or 39383 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12756852000 in words is "twelve billion, seven hundred fifty-six million, eight hundred fifty-two thousand".