122512005675180 has 72 divisors (see below), whose sum is σ = 405403364240784. Its totient is φ = 29699880163200.

The previous prime is 122512005675133. The next prime is 122512005675181. The reversal of 122512005675180 is 81576500215221.

It is a happy number.

122512005675180 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 2 + 0 + 0 + 567 + 5 + 1 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (122512005675181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30937373191 + ... + 30937377150.

It is an arithmetic number, because the mean of its divisors is an integer number (5630602281122).

Almost surely, 2^{122512005675180} is an apocalyptic number.

122512005675180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122512005675180 is an abundant number, since it is smaller than the sum of its proper divisors (282891358565604).

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

122512005675180 is a wasteful number, since it uses less digits than its factorization.

122512005675180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61874750367 (or 61874750362 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 122512005675180 in words is "one hundred twenty-two trillion, five hundred twelve billion, five million, six hundred seventy-five thousand, one hundred eighty".