120541590481 has 27 divisors (see below), whose sum is σ = 138745327953. Its totient is φ = 104657255040.

The previous prime is 120541590457. The next prime is 120541590497. The reversal of 120541590481 is 184095145021.

The square root of 120541590481 is 347191.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1088406081 + 119453184400 = 32991^2 + 345620^2 .

It is not a de Polignac number, because 120541590481 - 2¹⁹ = 120541066193 is a prime.

It is a super-2 number, since 2×120541590481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120541590401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76728426 + ... + 76729996.

Almost surely, 2^120541590481 is an apocalyptic number.

120541590481 is the 347191-st square number.

120541590481 is the 173596-th centered octagonal number.

It is an amenable number.

120541590481 is a deficient number, since it is larger than the sum of its proper divisors (18203737472).

120541590481 is an frugal number, since it uses more digits than its factorization.

120541590481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 120541590481 in words is "one hundred twenty billion, five hundred forty-one million, five hundred ninety thousand, four hundred eighty-one".