111120400 has 60 divisors (see below), whose sum is σ = 270263952. Its totient is φ = 43899520.

The previous prime is 111120389. The next prime is 111120409. The reversal of 111120400 is 4021111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111120409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31527 + ... + 34873.

Almost surely, 2^111120400 is an apocalyptic number.

111120400 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 111120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135131976).

111120400 is an abundant number, since it is smaller than the sum of its proper divisors (159143552).

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

111120400 is a wasteful number, since it uses less digits than its factorization.

111120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 111120400 is about 10541.3661353735. The cubic root of 111120400 is about 480.7632532918.

Adding to 111120400 its reverse (4021111), we get a palindrome (115141511).

The spelling of 111120400 in words is "one hundred eleven million, one hundred twenty thousand, four hundred".