12710131200 has 1200 divisors, whose sum is σ = 54151596576. Its totient is φ = 2919628800.

The previous prime is 12710131169. The next prime is 12710131219. The reversal of 12710131200 is 213101721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 310003180 + ... + 310003220.

Almost surely, 2^12710131200 is an apocalyptic number.

12710131200 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 12710131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27075798288).

12710131200 is an abundant number, since it is smaller than the sum of its proper divisors (41441465376).

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

12710131200 is a wasteful number, since it uses less digits than its factorization.

12710131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 12710131200 its reverse (213101721), we get a palindrome (12923232921).

The spelling of 12710131200 in words is "twelve billion, seven hundred ten million, one hundred thirty-one thousand, two hundred".