122072145552 has 80 divisors (see below), whose sum is σ = 400448318080. Its totient is φ = 34877755008.

The previous prime is 122072145551. The next prime is 122072145577. The reversal of 122072145552 is 255541270221.

122072145552 is a `hidden beast` number, since 1 + 2 + 20 + 72 + 14 + 5 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122072145551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20180863 + ... + 20186910.

It is an arithmetic number, because the mean of its divisors is an integer number (5005603976).

Almost surely, 2^122072145552 is an apocalyptic number.

122072145552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122072145552 is an abundant number, since it is smaller than the sum of its proper divisors (278376172528).

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

122072145552 is a wasteful number, since it uses less digits than its factorization.

122072145552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40367797 (or 40367785 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 122072145552 in words is "one hundred twenty-two billion, seventy-two million, one hundred forty-five thousand, five hundred fifty-two".