120122982371100 has 288 divisors, whose sum is σ = 363026661681600. Its totient is φ = 30629407334400.

The previous prime is 120122982371053. The next prime is 120122982371213. The reversal of 120122982371100 is 1173289221021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501670206 + ... + 501909594.

It is an arithmetic number, because the mean of its divisors is an integer number (1260509241950).

Almost surely, 2^{120122982371100} is an apocalyptic number.

120122982371100 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 120122982371100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181513330840800).

120122982371100 is an abundant number, since it is smaller than the sum of its proper divisors (242903679310500).

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

120122982371100 is a wasteful number, since it uses less digits than its factorization.

120122982371100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239993 (or 239986 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 120122982371100 in words is "one hundred twenty trillion, one hundred twenty-two billion, nine hundred eighty-two million, three hundred seventy-one thousand, one hundred".