122306257920 has 1584 divisors, whose sum is σ = 536312689920. Its totient is φ = 23616552960.

The previous prime is 122306257883. The next prime is 122306257961. The reversal of 122306257920 is 29752603221.

122306257920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1548180441 + ... + 1548180519.

Almost surely, 2^122306257920 is an apocalyptic number.

122306257920 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 122306257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268156344960).

122306257920 is an abundant number, since it is smaller than the sum of its proper divisors (414006432000).

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

122306257920 is a wasteful number, since it uses less digits than its factorization.

122306257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 122306257920 in words is "one hundred twenty-two billion, three hundred six million, two hundred fifty-seven thousand, nine hundred twenty".