120035097338809 has 27 divisors (see below), whose sum is σ = 122160284468271. Its totient is φ = 117946731208320.

The previous prime is 120035097338759. The next prime is 120035097338813. The reversal of 120035097338809 is 908833790530021.

The square root of 120035097338809 is 10956053.

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

It can be written as a sum of positive squares in only one way, i.e., 53900338639225 + 66134758699584 = 7341685^2 + 8132328^2 .

It is not a de Polignac number, because 120035097338809 - 2³⁹ = 119485341524921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120035097348809) 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, 190229947924 + ... + 190229948554.

Almost surely, 2^{120035097338809} is an apocalyptic number.

120035097338809 is the 10956053-rd square number.

120035097338809 is the 5478027-th centered octagonal number.

It is an amenable number.

120035097338809 is a deficient number, since it is larger than the sum of its proper divisors (2125187129462).

120035097338809 is an frugal number, since it uses more digits than its factorization.

120035097338809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 120035097338809 in words is "one hundred twenty trillion, thirty-five billion, ninety-seven million, three hundred thirty-eight thousand, eight hundred nine".