114332125200 has 120 divisors (see below), whose sum is σ = 368268054336. Its totient is φ = 30320064000.

The previous prime is 114332125181. The next prime is 114332125207. The reversal of 114332125200 is 2521233411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114332125207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45996 + ... + 480395.

Almost surely, 2^114332125200 is an apocalyptic number.

114332125200 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 114332125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184134027168).

114332125200 is an abundant number, since it is smaller than the sum of its proper divisors (253935929136).

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

114332125200 is a wasteful number, since it uses less digits than its factorization.

114332125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526593 (or 526582 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 114332125200 its reverse (2521233411), we get a palindrome (116853358611).

The spelling of 114332125200 in words is "one hundred fourteen billion, three hundred thirty-two million, one hundred twenty-five thousand, two hundred".