111381765120 has 440 divisors, whose sum is σ = 416518385184. Its totient is φ = 28407988224.

The previous prime is 111381765071. The next prime is 111381765139. The reversal of 111381765120 is 21567183111.

It is a happy number.

111381765120 is a `hidden beast` number, since 1 + 1 + 138 + 1 + 7 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×111381765120² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 9532722 + ... + 9544398.

Almost surely, 2^111381765120 is an apocalyptic number.

111381765120 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 111381765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208259192592).

111381765120 is an abundant number, since it is smaller than the sum of its proper divisors (305136620064).

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

111381765120 is a wasteful number, since it uses less digits than its factorization.

111381765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11737 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 111381765120 in words is "one hundred eleven billion, three hundred eighty-one million, seven hundred sixty-five thousand, one hundred twenty".