122031712900 has 144 divisors (see below), whose sum is σ = 278829185040. Its totient is φ = 46293811200.

The previous prime is 122031712879. The next prime is 122031712931. The reversal of 122031712900 is 9217130221.

It can be written as a sum of positive squares in 24 ways, for example, as 98959318084 + 23072394816 = 314578^2 + 151896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58639860 + ... + 58641940.

It is an arithmetic number, because the mean of its divisors is an integer number (1936313785).

Almost surely, 2^122031712900 is an apocalyptic number.

122031712900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122031712900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139414592520).

122031712900 is an abundant number, since it is smaller than the sum of its proper divisors (156797472140).

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

122031712900 is a wasteful number, since it uses less digits than its factorization.

122031712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 122031712900 in words is "one hundred twenty-two billion, thirty-one million, seven hundred twelve thousand, nine hundred".