122561261504 has 28 divisors (see below), whose sum is σ = 265317277848. Its totient is φ = 55709664000.

The previous prime is 122561261491. The next prime is 122561261527. The reversal of 122561261504 is 405162165221.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 87045647 + ... + 87047054.

It is an arithmetic number, because the mean of its divisors is an integer number (9475617066).

Almost surely, 2^122561261504 is an apocalyptic number.

It is an amenable number.

122561261504 is an abundant number, since it is smaller than the sum of its proper divisors (142756016344).

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

122561261504 is a wasteful number, since it uses less digits than its factorization.

122561261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174092724 (or 174092714 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 122561261504 in words is "one hundred twenty-two billion, five hundred sixty-one million, two hundred sixty-one thousand, five hundred four".