111885120 has 168 divisors, whose sum is σ = 392634216. Its totient is φ = 29233152.

The previous prime is 111885101. The next prime is 111885139. The reversal of 111885120 is 21588111.

It is an interprime number because it is at equal distance from previous prime (111885101) and next prime (111885139).

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 59351616 = 7248^2 + 7704^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152274 + ... + 153006.

Almost surely, 2^111885120 is an apocalyptic number.

111885120 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 111885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196317108).

111885120 is an abundant number, since it is smaller than the sum of its proper divisors (280749096).

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

111885120 is a wasteful number, since it uses less digits than its factorization.

111885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 111885120 is about 10577.5762819277. The cubic root of 111885120 is about 481.8635886309.

The spelling of 111885120 in words is "one hundred eleven million, eight hundred eighty-five thousand, one hundred twenty".