122551356704 has 144 divisors (see below), whose sum is σ = 285111754200. Its totient is φ = 51695271936.

The previous prime is 122551356703. The next prime is 122551356713. The reversal of 122551356704 is 407653155221.

It can be written as a sum of positive squares in 4 ways, for example, as 90348336400 + 32203020304 = 300580^2 + 179452^2 .

It is not an unprimeable number, because it can be changed into a prime (122551356703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32513732 + ... + 32517500.

Almost surely, 2^122551356704 is an apocalyptic number.

122551356704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122551356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142555877100).

122551356704 is an abundant number, since it is smaller than the sum of its proper divisors (162560397496).

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

122551356704 is a wasteful number, since it uses less digits than its factorization.

122551356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 122551356704 in words is "one hundred twenty-two billion, five hundred fifty-one million, three hundred fifty-six thousand, seven hundred four".