111861120 has 384 divisors, whose sum is σ = 439538400. Its totient is φ = 24084480.

The previous prime is 111861067. The next prime is 111861137. The reversal of 111861120 is 21168111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 2728300 + ... + 2728340.

Almost surely, 2^111861120 is an apocalyptic number.

111861120 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 111861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

111861120 is an abundant number, since it is smaller than the sum of its proper divisors (327677280).

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

111861120 is a wasteful number, since it uses less digits than its factorization.

111861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

The square root of 111861120 is about 10576.4417456912. The cubic root of 111861120 is about 481.8291319992.

The spelling of 111861120 in words is "one hundred eleven million, eight hundred sixty-one thousand, one hundred twenty".