12642651600 has 120 divisors (see below), whose sum is σ = 40552508640. Its totient is φ = 3366888960.

The previous prime is 12642651599. The next prime is 12642651607. The reversal of 12642651600 is 615624621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642651607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949791 + ... + 963009.

It is an arithmetic number, because the mean of its divisors is an integer number (337937572).

Almost surely, 2^12642651600 is an apocalyptic number.

12642651600 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 12642651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276254320).

12642651600 is an abundant number, since it is smaller than the sum of its proper divisors (27909857040).

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

12642651600 is a wasteful number, since it uses less digits than its factorization.

12642651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12642651600 in words is "twelve billion, six hundred forty-two million, six hundred fifty-one thousand, six hundred".