111368832120 has 1536 divisors, whose sum is σ = 500184115200. Its totient is φ = 21445337088.

The previous prime is 111368832067. The next prime is 111368832247. The reversal of 111368832120 is 21238863111.

111368832120 is a `hidden beast` number, since 1 + 1 + 1 + 368 + 83 + 212 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1525600404 + ... + 1525600476.

It is an arithmetic number, because the mean of its divisors is an integer number (325640700).

Almost surely, 2^111368832120 is an apocalyptic number.

111368832120 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 111368832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250092057600).

111368832120 is an abundant number, since it is smaller than the sum of its proper divisors (388815283080).

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

111368832120 is a wasteful number, since it uses less digits than its factorization.

111368832120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 111368832120 in words is "one hundred eleven billion, three hundred sixty-eight million, eight hundred thirty-two thousand, one hundred twenty".