111120900 has 144 divisors (see below), whose sum is σ = 354643968. Its totient is φ = 26640000.

The previous prime is 111120887. The next prime is 111120937. The reversal of 111120900 is 9021111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111120900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498189 + ... + 498411.

Almost surely, 2^111120900 is an apocalyptic number.

111120900 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 111120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321984).

111120900 is an abundant number, since it is smaller than the sum of its proper divisors (243523068).

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

111120900 is a wasteful number, since it uses less digits than its factorization.

111120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 111120900 is about 10541.3898514380. The cubic root of 111120900 is about 480.7639743754.

The spelling of 111120900 in words is "one hundred eleven million, one hundred twenty thousand, nine hundred".