12642739200 has 1320 divisors, whose sum is σ = 58477909952. Its totient is φ = 2627665920.

The previous prime is 12642739189. The next prime is 12642739201. The reversal of 12642739200 is 293724621.

12642739200 is a `hidden beast` number, since 1 + 2 + 642 + 7 + 3 + 9 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12642739201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188697567 + ... + 188697633.

Almost surely, 2^12642739200 is an apocalyptic number.

12642739200 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 12642739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238954976).

12642739200 is an abundant number, since it is smaller than the sum of its proper divisors (45835170752).

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

12642739200 is a wasteful number, since it uses less digits than its factorization.

12642739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12642739200 in words is "twelve billion, six hundred forty-two million, seven hundred thirty-nine thousand, two hundred".