114121200 has 60 divisors (see below), whose sum is σ = 365572088. Its totient is φ = 30432000.

The previous prime is 114121181. The next prime is 114121237. The reversal of 114121200 is 2121411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46351 + ... + 48750.

Almost surely, 2^114121200 is an apocalyptic number.

114121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114121200 is an abundant number, since it is smaller than the sum of its proper divisors (251450888).

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

114121200 is a wasteful number, since it uses less digits than its factorization.

114121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95122 (or 95111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114121200 is about 10682.7524543069. The cubic root of 114121200 is about 485.0525326595.

Adding to 114121200 its reverse (2121411), we get a palindrome (116242611).

The spelling of 114121200 in words is "one hundred fourteen million, one hundred twenty-one thousand, two hundred".