122125377920 has 1024 divisors, whose sum is σ = 412185231360. Its totient is φ = 33478410240.

The previous prime is 122125377859. The next prime is 122125377931. The reversal of 122125377920 is 29773521221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 705926954 + ... + 705927126.

It is an arithmetic number, because the mean of its divisors is an integer number (402524640).

Almost surely, 2^122125377920 is an apocalyptic number.

122125377920 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 122125377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206092615680).

122125377920 is an abundant number, since it is smaller than the sum of its proper divisors (290059853440).

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

122125377920 is a wasteful number, since it uses less digits than its factorization.

122125377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 122125377920 in words is "one hundred twenty-two billion, one hundred twenty-five million, three hundred seventy-seven thousand, nine hundred twenty".