114401200 has 60 divisors (see below), whose sum is σ = 277390728. Its totient is φ = 45337600.

The previous prime is 114401197. The next prime is 114401207. The reversal of 114401200 is 2104411.

It is a super-2 number, since 2×114401200² = 26175269122880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114401207) 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, 43935 + ... + 46465.

Almost surely, 2^114401200 is an apocalyptic number.

114401200 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 114401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138695364).

114401200 is an abundant number, since it is smaller than the sum of its proper divisors (162989528).

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

114401200 is a wasteful number, since it uses less digits than its factorization.

114401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114401200 is about 10695.8496623690. The cubic root of 114401200 is about 485.4489059453.

Adding to 114401200 its reverse (2104411), we get a palindrome (116505611).

The spelling of 114401200 in words is "one hundred fourteen million, four hundred one thousand, two hundred".