111920400 has 240 divisors, whose sum is σ = 409309120. Its totient is φ = 29030400.

The previous prime is 111920377. The next prime is 111920407. The reversal of 111920400 is 4029111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111920407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464280 + ... + 464520.

Almost surely, 2^111920400 is an apocalyptic number.

111920400 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 111920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204654560).

111920400 is an abundant number, since it is smaller than the sum of its proper divisors (297388720).

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

111920400 is a wasteful number, since it uses less digits than its factorization.

111920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 111920400 is about 10579.2438293103. The cubic root of 111920400 is about 481.9142309352.

Adding to 111920400 its reverse (4029111), we get a palindrome (115949511).

The spelling of 111920400 in words is "one hundred eleven million, nine hundred twenty thousand, four hundred".