122142519752 has 108 divisors (see below), whose sum is σ = 258280235115. Its totient is φ = 54110708960.

The previous prime is 122142519691. The next prime is 122142519767. The reversal of 122142519752 is 257915241221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61071259876 + 61071259876 = 247126^2 + 247126^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247126.

It is a Duffinian number.

Its product of digits (100800) is a multiple of the sum of its prime factors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 511056449 + ... + 511056687.

Almost surely, 2^122142519752 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 122142519752

122142519752 is an abundant number, since it is smaller than the sum of its proper divisors (136137715363).

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

122142519752 is an equidigital number, since it uses as much as digits as its factorization.

122142519752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 299 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The spelling of 122142519752 in words is "one hundred twenty-two billion, one hundred forty-two million, five hundred nineteen thousand, seven hundred fifty-two".