12338799120 has 320 divisors, whose sum is σ = 45834566400. Its totient is φ = 3040727040.

The previous prime is 12338799107. The next prime is 12338799163. The reversal of 12338799120 is 2199783321.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1678974 + ... + 1686306.

It is an arithmetic number, because the mean of its divisors is an integer number (143233020).

Almost surely, 2^12338799120 is an apocalyptic number.

12338799120 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 12338799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917283200).

12338799120 is an abundant number, since it is smaller than the sum of its proper divisors (33495767280).

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

12338799120 is a wasteful number, since it uses less digits than its factorization.

12338799120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12338799120 in words is "twelve billion, three hundred thirty-eight million, seven hundred ninety-nine thousand, one hundred twenty".