122516460032 has 90 divisors (see below), whose sum is σ = 253452846339. Its totient is φ = 59163356160.

The previous prime is 122516459921. The next prime is 122516460037. The reversal of 122516460032 is 230064615221.

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., 61258230016 + 61258230016 = 247504^2 + 247504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (122516460037) 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 8 ways as a sum of consecutive naturals, for example, 245523719 + ... + 245524217.

Almost surely, 2^122516460032 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 122516460032

122516460032 is an abundant number, since it is smaller than the sum of its proper divisors (130936386307).

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

122516460032 is an frugal number, since it uses more digits than its factorization.

122516460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Multiplying 122516460032 by its sum of digits (32), we get a square (3920526721024 = 1980032²).

122516460032 divided by its sum of digits (32) gives a square (3828639376 = 61876²).

The spelling of 122516460032 in words is "one hundred twenty-two billion, five hundred sixteen million, four hundred sixty thousand, thirty-two".