12307204800 has 840 divisors, whose sum is σ = 50419741680. Its totient is φ = 2919628800.

The previous prime is 12307204781. The next prime is 12307204841. The reversal of 12307204800 is 840270321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126878352 + ... + 126878448.

It is an arithmetic number, because the mean of its divisors is an integer number (60023502).

Almost surely, 2^12307204800 is an apocalyptic number.

12307204800 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 12307204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209870840).

12307204800 is an abundant number, since it is smaller than the sum of its proper divisors (38112536880).

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

12307204800 is a wasteful number, since it uses less digits than its factorization.

12307204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12307204800 in words is "twelve billion, three hundred seven million, two hundred four thousand, eight hundred".