120075574100 has 72 divisors (see below), whose sum is σ = 263706981048. Its totient is φ = 47453593600.

The previous prime is 120075574097. The next prime is 120075574123. The reversal of 120075574100 is 1475570021.

It can be written as a sum of positive squares in 12 ways, for example, as 108059468176 + 12016105924 = 328724^2 + 109618^2 .

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 23 ways as a sum of consecutive naturals, for example, 3565340 + ... + 3598860.

It is an arithmetic number, because the mean of its divisors is an integer number (3662596959).

Almost surely, 2^120075574100 is an apocalyptic number.

120075574100 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 120075574100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131853490524).

120075574100 is an abundant number, since it is smaller than the sum of its proper divisors (143631406948).

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

120075574100 is a wasteful number, since it uses less digits than its factorization.

120075574100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33965 (or 33958 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The spelling of 120075574100 in words is "one hundred twenty billion, seventy-five million, five hundred seventy-four thousand, one hundred".