114031200 has 72 divisors (see below), whose sum is σ = 371179368. Its totient is φ = 30407680.

The previous prime is 114031193. The next prime is 114031201. The reversal of 114031200 is 2130411.

It is a happy number.

It is a super-2 number, since 2×114031200² = 26006229146880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21357 + ... + 26156.

It is an arithmetic number, because the mean of its divisors is an integer number (5155269).

Almost surely, 2^114031200 is an apocalyptic number.

114031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114031200 is an abundant number, since it is smaller than the sum of its proper divisors (257148168).

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

114031200 is a wasteful number, since it uses less digits than its factorization.

114031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47536 (or 47523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114031200 is about 10678.5392259428. The cubic root of 114031200 is about 484.9249892850.

Adding to 114031200 its reverse (2130411), we get a palindrome (116161611).

The spelling of 114031200 in words is "one hundred fourteen million, thirty-one thousand, two hundred".