114513400521120 has 96 divisors (see below), whose sum is σ = 360749210008320. Its totient is φ = 30534197949440.

The previous prime is 114513400521089. The next prime is 114513400521151. The reversal of 114513400521120 is 21125004315411.

It is an interprime number because it is at equal distance from previous prime (114513400521089) and next prime (114513400521151).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114513400521120² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5161911 + ... + 15989750.

It is an arithmetic number, because the mean of its divisors is an integer number (3757804270920).

Almost surely, 2^{114513400521120} is an apocalyptic number.

114513400521120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114513400521120 is an abundant number, since it is smaller than the sum of its proper divisors (246235809487200).

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

114513400521120 is a wasteful number, since it uses less digits than its factorization.

114513400521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21162958 (or 21162950 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 114513400521120 its reverse (21125004315411), we get a palindrome (135638404836531).

The spelling of 114513400521120 in words is "one hundred fourteen trillion, five hundred thirteen billion, four hundred million, five hundred twenty-one thousand, one hundred twenty".