122303202131200 has 108 divisors (see below), whose sum is σ = 305398470895308. Its totient is φ = 48488348876800.

The previous prime is 122303202131161. The next prime is 122303202131213. The reversal of 122303202131200 is 2131202303221.

It can be written as a sum of positive squares in 6 ways, for example, as 5218337159424 + 117084864971776 = 2284368^2 + 10820576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83833771 + ... + 85280170.

It is an arithmetic number, because the mean of its divisors is an integer number (2827763619401).

Almost surely, 2^{122303202131200} is an apocalyptic number.

122303202131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122303202131200 is an abundant number, since it is smaller than the sum of its proper divisors (183095268764108).

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

122303202131200 is a wasteful number, since it uses less digits than its factorization.

122303202131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169114080 (or 169114061 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122303202131200 its reverse (2131202303221), we get a palindrome (124434404434421).

The spelling of 122303202131200 in words is "one hundred twenty-two trillion, three hundred three billion, two hundred two million, one hundred thirty-one thousand, two hundred".