12710692800 has 504 divisors, whose sum is σ = 50202419280. Its totient is φ = 3126988800.

The previous prime is 12710692781. The next prime is 12710692807. The reversal of 12710692800 is 829601721.

It is a super-2 number, since 2×12710692800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12710692807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7299930 + ... + 7301670.

Almost surely, 2^12710692800 is an apocalyptic number.

12710692800 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 12710692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101209640).

12710692800 is an abundant number, since it is smaller than the sum of its proper divisors (37491726480).

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

12710692800 is a wasteful number, since it uses less digits than its factorization.

12710692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12710692800 in words is "twelve billion, seven hundred ten million, six hundred ninety-two thousand, eight hundred".