12345007600 has 120 divisors (see below), whose sum is σ = 30558646800. Its totient is φ = 4789800960.

The previous prime is 12345007559. The next prime is 12345007681. The reversal of 12345007600 is 670054321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560392 + ... + 2565208.

It is an arithmetic number, because the mean of its divisors is an integer number (254655390).

Almost surely, 2^12345007600 is an apocalyptic number.

12345007600 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 12345007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279323400).

12345007600 is an abundant number, since it is smaller than the sum of its proper divisors (18213639200).

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

12345007600 is a wasteful number, since it uses less digits than its factorization.

12345007600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 12345007600 in words is "twelve billion, three hundred forty-five million, seven thousand, six hundred".