12038872320 has 576 divisors, whose sum is σ = 46764103680. Its totient is φ = 2919628800.

The previous prime is 12038872301. The next prime is 12038872333. The reversal of 12038872320 is 2327883021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18212790 + ... + 18213450.

It is an arithmetic number, because the mean of its divisors is an integer number (81187680).

Almost surely, 2^12038872320 is an apocalyptic number.

12038872320 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 12038872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382051840).

12038872320 is an abundant number, since it is smaller than the sum of its proper divisors (34725231360).

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

12038872320 is a wasteful number, since it uses less digits than its factorization.

12038872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12038872320 in words is "twelve billion, thirty-eight million, eight hundred seventy-two thousand, three hundred twenty".