122099933329920 has 3360 divisors, whose sum is σ = 553353215627520. Its totient is φ = 25598960271360.

The previous prime is 122099933329789. The next prime is 122099933329921. The reversal of 122099933329920 is 29923339990221.

122099933329920 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 9 + 9 + 9 + 333 + 299 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (122099933329921) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 322163412291 + ... + 322163412669.

It is an arithmetic number, because the mean of its divisors is an integer number (164688457032).

Almost surely, 2^{122099933329920} is an apocalyptic number.

122099933329920 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 122099933329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276676607813760).

122099933329920 is an abundant number, since it is smaller than the sum of its proper divisors (431253282297600).

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

122099933329920 is an equidigital number, since it uses as much as digits as its factorization.

122099933329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 122099933329920 in words is "one hundred twenty-two trillion, ninety-nine billion, nine hundred thirty-three million, three hundred twenty-nine thousand, nine hundred twenty".