12374800320 has 224 divisors, whose sum is σ = 41641044480. Its totient is φ = 3104870400.

The previous prime is 12374800309. The next prime is 12374800357. The reversal of 12374800320 is 2300847321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751994 + ... + 2756486.

It is an arithmetic number, because the mean of its divisors is an integer number (185897520).

Almost surely, 2^12374800320 is an apocalyptic number.

12374800320 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 12374800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820522240).

12374800320 is an abundant number, since it is smaller than the sum of its proper divisors (29266244160).

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

12374800320 is a wasteful number, since it uses less digits than its factorization.

12374800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12374800320 in words is "twelve billion, three hundred seventy-four million, eight hundred thousand, three hundred twenty".