122402021431120 has 80 divisors (see below), whose sum is σ = 286296572699280. Its totient is φ = 48666425065472.

The previous prime is 122402021431117. The next prime is 122402021431141. The reversal of 122402021431120 is 21134120204221.

It can be written as a sum of positive squares in 8 ways, for example, as 52500516284176 + 69901505146944 = 7245724^2 + 8360712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58328742 + ... + 60390778.

It is an arithmetic number, because the mean of its divisors is an integer number (3578707158741).

Almost surely, 2^{122402021431120} is an apocalyptic number.

122402021431120 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 122402021431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143148286349640).

122402021431120 is an abundant number, since it is smaller than the sum of its proper divisors (163894551268160).

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

122402021431120 is a wasteful number, since it uses less digits than its factorization.

122402021431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066512 (or 2066506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 122402021431120 its reverse (21134120204221), we get a palindrome (143536141635341).

The spelling of 122402021431120 in words is "one hundred twenty-two trillion, four hundred two billion, twenty-one million, four hundred thirty-one thousand, one hundred twenty".