120122221202113 has 32 divisors (see below), whose sum is σ = 139669863127200. Its totient is φ = 102929991211008.

The previous prime is 120122221202101. The next prime is 120122221202131. The reversal of 120122221202113 is 311202122221021.

It can be written as a sum of positive squares in 16 ways, for example, as 112515916451904 + 7606304750209 = 10607352^2 + 2757953^2 .

It is not a de Polignac number, because 120122221202113 - 2²⁵ = 120122187647681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120122221272113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19302358 + ... + 24755311.

It is an arithmetic number, because the mean of its divisors is an integer number (4364683222725).

Almost surely, 2^{120122221202113} is an apocalyptic number.

120122221202113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120122221202113 is a deficient number, since it is larger than the sum of its proper divisors (19547641925087).

120122221202113 is an equidigital number, since it uses as much as digits as its factorization.

120122221202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44057798 (or 44057772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 120122221202113 its reverse (311202122221021), we get a palindrome (431324343423134).

The spelling of 120122221202113 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred thirteen".