114052212313200 has 480 divisors, whose sum is σ = 464353969920000. Its totient is φ = 26045423354880.

The previous prime is 114052212313187. The next prime is 114052212313219. The reversal of 114052212313200 is 2313212250411.

It is a happy number.

114052212313200 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 221 + 231 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82702926 + ... + 84070674.

It is an arithmetic number, because the mean of its divisors is an integer number (967404104000).

Almost surely, 2^{114052212313200} is an apocalyptic number.

114052212313200 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 114052212313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232176984960000).

114052212313200 is an abundant number, since it is smaller than the sum of its proper divisors (350301757606800).

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

114052212313200 is a wasteful number, since it uses less digits than its factorization.

114052212313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368886 (or 1368869 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114052212313200 its reverse (2313212250411), we get a palindrome (116365424563611).

The spelling of 114052212313200 in words is "one hundred fourteen trillion, fifty-two billion, two hundred twelve million, three hundred thirteen thousand, two hundred".