114530331322200 has 96 divisors (see below), whose sum is σ = 355199275791360. Its totient is φ = 30528066960000.

The previous prime is 114530331322151. The next prime is 114530331322201. The reversal of 114530331322200 is 2223133035411.

It is a super-3 number, since 3×114530331322200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114530331322201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40360176 + ... + 43104575.

It is an arithmetic number, because the mean of its divisors is an integer number (3699992456160).

Almost surely, 2^{114530331322200} is an apocalyptic number.

114530331322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114530331322200 is an abundant number, since it is smaller than the sum of its proper divisors (240668944469160).

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

114530331322200 is a wasteful number, since it uses less digits than its factorization.

114530331322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83467057 (or 83467048 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 114530331322200 its reverse (2223133035411), we get a palindrome (116753464357611).

The spelling of 114530331322200 in words is "one hundred fourteen trillion, five hundred thirty billion, three hundred thirty-one million, three hundred twenty-two thousand, two hundred".