120117003241 has 81 divisors (see below), whose sum is σ = 143342707599. Its totient is φ = 100613270016.

The previous prime is 120117003229. The next prime is 120117003289. The reversal of 120117003241 is 142300711021.

It is a happy number.

The square root of 120117003241 is 346579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13169641 + 120103833600 = 3629^2 + 346560^2 .

It is not a de Polignac number, because 120117003241 - 2²⁷ = 119982785513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120117003221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3246405475 + ... + 3246405511.

Almost surely, 2^120117003241 is an apocalyptic number.

120117003241 is the 346579-th square number.

120117003241 is the 173290-th centered octagonal number.

It is an amenable number.

120117003241 is a deficient number, since it is larger than the sum of its proper divisors (23225704358).

120117003241 is an equidigital number, since it uses as much as digits as its factorization.

120117003241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 120117003241 its reverse (142300711021), we get a palindrome (262417714262).

The spelling of 120117003241 in words is "one hundred twenty billion, one hundred seventeen million, three thousand, two hundred forty-one".