114020332120 has 96 divisors (see below), whose sum is σ = 273356687520. Its totient is φ = 42655196160.

The previous prime is 114020332117. The next prime is 114020332169. The reversal of 114020332120 is 21233020411.

It is a happy number.

It is a super-2 number, since 2×114020332120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 18063765 + ... + 18070075.

It is an arithmetic number, because the mean of its divisors is an integer number (2847465495).

Almost surely, 2^114020332120 is an apocalyptic number.

114020332120 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 114020332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678343760).

114020332120 is an abundant number, since it is smaller than the sum of its proper divisors (159336355400).

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

114020332120 is a wasteful number, since it uses less digits than its factorization.

114020332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 114020332120 its reverse (21233020411), we get a palindrome (135253352531).

The spelling of 114020332120 in words is "one hundred fourteen billion, twenty million, three hundred thirty-two thousand, one hundred twenty".