122864405409 has 12 divisors (see below), whose sum is σ = 178646113152. Its totient is φ = 81367155000.

The previous prime is 122864405351. The next prime is 122864405429. The reversal of 122864405409 is 904504468221.

It is a happy number.

122864405409 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 64 + 40 + 540 + 9 = 666.

It is not a de Polignac number, because 122864405409 - 2⁷ = 122864405281 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (122864405429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45202617 + ... + 45205334.

It is an arithmetic number, because the mean of its divisors is an integer number (14887176096).

Almost surely, 2^122864405409 is an apocalyptic number.

It is an amenable number.

122864405409 is a deficient number, since it is larger than the sum of its proper divisors (55781707743).

122864405409 is a wasteful number, since it uses less digits than its factorization.

122864405409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90408108 (or 90408105 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 122864405409 in words is "one hundred twenty-two billion, eight hundred sixty-four million, four hundred five thousand, four hundred nine".