120776717257667 has 16 divisors (see below), whose sum is σ = 123437402440704. Its totient is φ = 118119830400000.

The previous prime is 120776717257649. The next prime is 120776717257681. The reversal of 120776717257667 is 766752717677021.

It is a cyclic number.

It is not a de Polignac number, because 120776717257667 - 2²⁴ = 120776700480451 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120776717257667.

It is not an unprimeable number, because it can be changed into a prime (120776717251667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400577442 + ... + 2400627752.

It is an arithmetic number, because the mean of its divisors is an integer number (7714837652544).

Almost surely, 2^{120776717257667} is an apocalyptic number.

120776717257667 is a deficient number, since it is larger than the sum of its proper divisors (2660685183037).

120776717257667 is a wasteful number, since it uses less digits than its factorization.

120776717257667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87010.

The product of its (nonzero) digits is 508243680, while the sum is 71.

The spelling of 120776717257667 in words is "one hundred twenty trillion, seven hundred seventy-six billion, seven hundred seventeen million, two hundred fifty-seven thousand, six hundred sixty-seven".