120424962529 has 27 divisors (see below), whose sum is σ = 126395254713. Its totient is φ = 114734132352.

The previous prime is 120424962443. The next prime is 120424962557. The reversal of 120424962529 is 925269424021.

The square root of 120424962529 is 347023.

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 4620872529 + 115804090000 = 67977^2 + 340300^2 .

It is not a de Polignac number, because 120424962529 - 2¹⁹ = 120424438241 is a prime.

It is a super-2 number, since 2×120424962529² (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 (120424962829) 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 26 ways as a sum of consecutive naturals, for example, 1065707577 + ... + 1065707689.

Almost surely, 2^120424962529 is an apocalyptic number.

120424962529 is the 347023-rd square number.

120424962529 is the 173512-nd centered octagonal number.

It is an amenable number.

120424962529 is a deficient number, since it is larger than the sum of its proper divisors (5970292184).

120424962529 is an frugal number, since it uses more digits than its factorization.

120424962529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 120424962529 in words is "one hundred twenty billion, four hundred twenty-four million, nine hundred sixty-two thousand, five hundred twenty-nine".