122330260699920 has 3840 divisors, whose sum is σ = 564447793029120. Its totient is φ = 23025519820800.

The previous prime is 122330260699849. The next prime is 122330260699921. The reversal of 122330260699920 is 29996062033221.

122330260699920 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 0 + 2 + 606 + 9 + 9 + 9 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (122330260699921) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 398469904407 + ... + 398469904713.

It is an arithmetic number, because the mean of its divisors is an integer number (146991612768).

Almost surely, 2^{122330260699920} is an apocalyptic number.

122330260699920 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 122330260699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282223896514560).

122330260699920 is an abundant number, since it is smaller than the sum of its proper divisors (442117532329200).

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

122330260699920 is a wasteful number, since it uses less digits than its factorization.

122330260699920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 122330260699920 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred sixty million, six hundred ninety-nine thousand, nine hundred twenty".