122119326720 has 528 divisors, whose sum is σ = 445307196672. Its totient is φ = 30900879360.

The previous prime is 122119326647. The next prime is 122119326737. The reversal of 122119326720 is 27623911221.

It is a super-2 number, since 2×122119326720² (a number of 23 digits) contains 22 as substring.

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

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, 75708634 + ... + 75710246.

Almost surely, 2^122119326720 is an apocalyptic number.

122119326720 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 122119326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222653598336).

122119326720 is an abundant number, since it is smaller than the sum of its proper divisors (323187869952).

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

122119326720 is a wasteful number, since it uses less digits than its factorization.

122119326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 122119326720 in words is "one hundred twenty-two billion, one hundred nineteen million, three hundred twenty-six thousand, seven hundred twenty".