122150052144500 has 48 divisors (see below), whose sum is σ = 273282438658320. Its totient is φ = 47668313024000.

The previous prime is 122150052144353. The next prime is 122150052144503. The reversal of 122150052144500 is 5441250051221.

It can be written as a sum of positive squares in 8 ways, for example, as 36198536976484 + 85951515168016 = 6016522^2 + 9271004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122150052144503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979249065 + ... + 2979290064.

It is an arithmetic number, because the mean of its divisors is an integer number (5693384138715).

Almost surely, 2^{122150052144500} is an apocalyptic number.

122150052144500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122150052144500 is an abundant number, since it is smaller than the sum of its proper divisors (151132386513820).

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

122150052144500 is a wasteful number, since it uses less digits than its factorization.

122150052144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958539189 (or 5958539177 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 122150052144500 in words is "one hundred twenty-two trillion, one hundred fifty billion, fifty-two million, one hundred forty-four thousand, five hundred".