12971011200 has 384 divisors, whose sum is σ = 51401472000. Its totient is φ = 2808483840.

The previous prime is 12971011187. The next prime is 12971011231. The reversal of 12971011200 is 211017921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1271721 + ... + 1281879.

It is an arithmetic number, because the mean of its divisors is an integer number (133858000).

Almost surely, 2^12971011200 is an apocalyptic number.

12971011200 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 12971011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700736000).

12971011200 is an abundant number, since it is smaller than the sum of its proper divisors (38430460800).

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

12971011200 is a wasteful number, since it uses less digits than its factorization.

12971011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 12971011200 in words is "twelve billion, nine hundred seventy-one million, eleven thousand, two hundred".