122536402704 has 135 divisors (see below), whose sum is σ = 354727869717. Its totient is φ = 39485865600.

The previous prime is 122536402687. The next prime is 122536402733. The reversal of 122536402704 is 407204635221.

The square root of 122536402704 is 350052.

It is a perfect power (a square), and thus also a powerful number.

122536402704 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 3 + 640 + 2 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75984025104 + 46552377600 = 275652^2 + 215760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130218874 + ... + 130219814.

Almost surely, 2^122536402704 is an apocalyptic number.

122536402704 is the 350052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122536402704

122536402704 is an abundant number, since it is smaller than the sum of its proper divisors (232191467013).

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

122536402704 is an frugal number, since it uses more digits than its factorization.

122536402704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 122536402704 by its sum of digits (36), we get a square (4411310497344 = 2100312²).

122536402704 divided by its sum of digits (36) gives a square (3403788964 = 58342²).

The spelling of 122536402704 in words is "one hundred twenty-two billion, five hundred thirty-six million, four hundred two thousand, seven hundred four".