114024313120 has 48 divisors (see below), whose sum is σ = 269411394168. Its totient is φ = 45604823040.

The previous prime is 114024313097. The next prime is 114024313127. The reversal of 114024313120 is 21313420411.

It can be written as a sum of positive squares in 4 ways, for example, as 105186056976 + 8838256144 = 324324^2 + 94012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114024313091 and 114024313100.

It is not an unprimeable number, because it can be changed into a prime (114024313127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701040 + ... + 1766800.

Almost surely, 2^114024313120 is an apocalyptic number.

114024313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114024313120 is an abundant number, since it is smaller than the sum of its proper divisors (155387081048).

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

114024313120 is a wasteful number, since it uses less digits than its factorization.

114024313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76613 (or 76605 counting only the distinct ones).

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

Adding to 114024313120 its reverse (21313420411), we get a palindrome (135337733531).

The spelling of 114024313120 in words is "one hundred fourteen billion, twenty-four million, three hundred thirteen thousand, one hundred twenty".