114921200 has 60 divisors (see below), whose sum is σ = 285647640. Its totient is φ = 44378880.

The previous prime is 114921143. The next prime is 114921211. The reversal of 114921200 is 2129411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6647 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (4760794).

Almost surely, 2^114921200 is an apocalyptic number.

114921200 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 114921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142823820).

114921200 is an abundant number, since it is smaller than the sum of its proper divisors (170726440).

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

114921200 is a wasteful number, since it uses less digits than its factorization.

114921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 114921200 is about 10720.1305962194. The cubic root of 114921200 is about 486.1833152671.

The spelling of 114921200 in words is "one hundred fourteen million, nine hundred twenty-one thousand, two hundred".