114124320420 has 192 divisors, whose sum is σ = 367626470400. Its totient is φ = 26161712640.

The previous prime is 114124320361. The next prime is 114124320449. The reversal of 114124320420 is 24023421411.

It is a super-2 number, since 2×114124320420² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6976611 + ... + 6992949.

It is an arithmetic number, because the mean of its divisors is an integer number (1914721200).

Almost surely, 2^114124320420 is an apocalyptic number.

114124320420 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 114124320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183813235200).

114124320420 is an abundant number, since it is smaller than the sum of its proper divisors (253502149980).

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

114124320420 is a wasteful number, since it uses less digits than its factorization.

114124320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114124320420 its reverse (24023421411), we get a palindrome (138147741831).

The spelling of 114124320420 in words is "one hundred fourteen billion, one hundred twenty-four million, three hundred twenty thousand, four hundred twenty".