122770406939232 has 192 divisors, whose sum is σ = 355151555942400. Its totient is φ = 36898264172544.

The previous prime is 122770406939197. The next prime is 122770406939263. The reversal of 122770406939232 is 232939604077221.

122770406939232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27423394 + ... + 31584542.

It is an arithmetic number, because the mean of its divisors is an integer number (1849747687200).

Almost surely, 2^{122770406939232} is an apocalyptic number.

122770406939232 is a gapful number since it is divisible by the number (12) 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 122770406939232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177575777971200).

122770406939232 is an abundant number, since it is smaller than the sum of its proper divisors (232381149003168).

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

122770406939232 is a wasteful number, since it uses less digits than its factorization.

122770406939232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161725 (or 4161717 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 122770406939232 in words is "one hundred twenty-two trillion, seven hundred seventy billion, four hundred six million, nine hundred thirty-nine thousand, two hundred thirty-two".