122115841920 has 256 divisors, whose sum is σ = 444184948800. Its totient is φ = 31683944448.

The previous prime is 122115841919. The next prime is 122115841927. The reversal of 122115841920 is 29148511221.

122115841920 is a `hidden beast` number, since 1 + 2 + 211 + 5 + 8 + 419 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122115841927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543862 + ... + 734858.

Almost surely, 2^122115841920 is an apocalyptic number.

122115841920 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 122115841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222092474400).

122115841920 is an abundant number, since it is smaller than the sum of its proper divisors (322069106880).

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

122115841920 is a wasteful number, since it uses less digits than its factorization.

122115841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191062 (or 191044 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 122115841920 in words is "one hundred twenty-two billion, one hundred fifteen million, eight hundred forty-one thousand, nine hundred twenty".