114320412433200 has 120 divisors (see below), whose sum is σ = 366715717977600. Its totient is φ = 30443043303680.

The previous prime is 114320412433189. The next prime is 114320412433217. The reversal of 114320412433200 is 2334214023411.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65386860 + ... + 67112459.

It is an arithmetic number, because the mean of its divisors is an integer number (3055964316480).

Almost surely, 2^{114320412433200} is an apocalyptic number.

114320412433200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114320412433200 is an abundant number, since it is smaller than the sum of its proper divisors (252395305544400).

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

114320412433200 is a wasteful number, since it uses less digits than its factorization.

114320412433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132500059 (or 132500048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114320412433200 its reverse (2334214023411), we get a palindrome (116654626456611).

The spelling of 114320412433200 in words is "one hundred fourteen trillion, three hundred twenty billion, four hundred twelve million, four hundred thirty-three thousand, two hundred".