122631115140 has 144 divisors (see below), whose sum is σ = 373829654016. Its totient is φ = 32539449600.

The previous prime is 122631115133. The next prime is 122631115141. The reversal of 122631115140 is 41511136221.

122631115140 is a `hidden beast` number, since 1 + 2 + 2 + 631 + 1 + 15 + 14 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (122631115141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66974025 + ... + 66975855.

It is an arithmetic number, because the mean of its divisors is an integer number (2596039264).

Almost surely, 2^122631115140 is an apocalyptic number.

122631115140 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 122631115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186914827008).

122631115140 is an abundant number, since it is smaller than the sum of its proper divisors (251198538876).

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

122631115140 is a wasteful number, since it uses less digits than its factorization.

122631115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 122631115140 in words is "one hundred twenty-two billion, six hundred thirty-one million, one hundred fifteen thousand, one hundred forty".