120221202330112 has 160 divisors (see below), whose sum is σ = 264634621518960. Its totient is φ = 54224513925120.

The previous prime is 120221202330107. The next prime is 120221202330211. The reversal of 120221202330112 is 211033202122021.

It can be written as a sum of positive squares in 8 ways, for example, as 55684787026176 + 64536415303936 = 7462224^2 + 8033456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51826812 + ... + 54096772.

Almost surely, 2^{120221202330112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221202330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132317310759480).

120221202330112 is an abundant number, since it is smaller than the sum of its proper divisors (144413419188848).

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

120221202330112 is a wasteful number, since it uses less digits than its factorization.

120221202330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270174 (or 2270158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 120221202330112 its reverse (211033202122021), we get a palindrome (331254404452133).

The spelling of 120221202330112 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred two million, three hundred thirty thousand, one hundred twelve".