122553561504 has 96 divisors (see below), whose sum is σ = 351439119360. Its totient is φ = 37085561600.

The previous prime is 122553561467. The next prime is 122553561523. The reversal of 122553561504 is 405165355221.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678559 + ... + 839969.

It is an arithmetic number, because the mean of its divisors is an integer number (3660824160).

Almost surely, 2^122553561504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122553561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175719559680).

122553561504 is an abundant number, since it is smaller than the sum of its proper divisors (228885557856).

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

122553561504 is a wasteful number, since it uses less digits than its factorization.

122553561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162154 (or 162146 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 122553561504 in words is "one hundred twenty-two billion, five hundred fifty-three million, five hundred sixty-one thousand, five hundred four".