12345604300 has 144 divisors (see below), whose sum is σ = 28575671040. Its totient is φ = 4621824000.

The previous prime is 12345604277. The next prime is 12345604307. The reversal of 12345604300 is 340654321.

It is not an unprimeable number, because it can be changed into a prime (12345604307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17412346 + ... + 17413054.

It is an arithmetic number, because the mean of its divisors is an integer number (198442160).

Almost surely, 2^12345604300 is an apocalyptic number.

12345604300 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 12345604300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287835520).

12345604300 is an abundant number, since it is smaller than the sum of its proper divisors (16230066740).

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

12345604300 is a wasteful number, since it uses less digits than its factorization.

12345604300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 12345604300 in words is "twelve billion, three hundred forty-five million, six hundred four thousand, three hundred".