122567946272 has 54 divisors (see below), whose sum is σ = 243306657279. Its totient is φ = 60779949120.

The previous prime is 122567946251. The next prime is 122567946301. The reversal of 122567946272 is 272649765221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61283973136 + 61283973136 = 247556^2 + 247556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247556.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 394108997 + ... + 394109307.

Almost surely, 2^122567946272 is an apocalyptic number.

It is an amenable number.

122567946272 is a deficient number, since it is larger than the sum of its proper divisors (120738711007).

122567946272 is an frugal number, since it uses more digits than its factorization.

122567946272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 512 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The spelling of 122567946272 in words is "one hundred twenty-two billion, five hundred sixty-seven million, nine hundred forty-six thousand, two hundred seventy-two".