114240133120 has 96 divisors (see below), whose sum is σ = 275859183600. Its totient is φ = 45404356608.

The previous prime is 114240133109. The next prime is 114240133159. The reversal of 114240133120 is 21331042411.

It is a junction number, because it is equal to n+sod(n) for n = 114240133091 and 114240133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572151 + ... + 1643209.

Almost surely, 2^114240133120 is an apocalyptic number.

114240133120 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 114240133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137929591800).

114240133120 is an abundant number, since it is smaller than the sum of its proper divisors (161619050480).

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

114240133120 is an equidigital number, since it uses as much as digits as its factorization.

114240133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71243 (or 71223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 114240133120 its reverse (21331042411), we get a palindrome (135571175531).

The spelling of 114240133120 in words is "one hundred fourteen billion, two hundred forty million, one hundred thirty-three thousand, one hundred twenty".