114236640120 has 384 divisors, whose sum is σ = 389720600640. Its totient is φ = 26674053120.

The previous prime is 114236640073. The next prime is 114236640121. The reversal of 114236640120 is 21046632411.

It is a super-2 number, since 2×114236640120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114236640121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39927490 + ... + 39930350.

Almost surely, 2^114236640120 is an apocalyptic number.

114236640120 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 114236640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194860300320).

114236640120 is an abundant number, since it is smaller than the sum of its proper divisors (275483960520).

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

114236640120 is a wasteful number, since it uses less digits than its factorization.

114236640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 114236640120 in words is "one hundred fourteen billion, two hundred thirty-six million, six hundred forty thousand, one hundred twenty".