122076531360 has 288 divisors, whose sum is σ = 478363197312. Its totient is φ = 27770480640.

The previous prime is 122076531347. The next prime is 122076531373. The reversal of 122076531360 is 63135670221.

122076531360 is a `hidden beast` number, since 1 + 2 + 20 + 76 + 531 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122076531347) and next prime (122076531373).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098182 + ... + 2155578.

It is an arithmetic number, because the mean of its divisors is an integer number (1660983324).

Almost surely, 2^122076531360 is an apocalyptic number.

122076531360 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 122076531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239181598656).

122076531360 is an abundant number, since it is smaller than the sum of its proper divisors (356286665952).

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

122076531360 is a wasteful number, since it uses less digits than its factorization.

122076531360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57636 (or 57625 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 122076531360 in words is "one hundred twenty-two billion, seventy-six million, five hundred thirty-one thousand, three hundred sixty".