122909092020 has 1152 divisors, whose sum is σ = 487024312320. Its totient is φ = 24839654400.

The previous prime is 122909091997. The next prime is 122909092049. The reversal of 122909092020 is 20290909221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1834464027 + ... + 1834464093.

It is an arithmetic number, because the mean of its divisors is an integer number (422764160).

Almost surely, 2^122909092020 is an apocalyptic number.

122909092020 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 122909092020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243512156160).

122909092020 is an abundant number, since it is smaller than the sum of its proper divisors (364115220300).

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

122909092020 is a wasteful number, since it uses less digits than its factorization.

122909092020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 122909092020 in words is "one hundred twenty-two billion, nine hundred nine million, ninety-two thousand, twenty".