120712756764967 has 8 divisors (see below), whose sum is σ = 120767093187840. Its totient is φ = 120658424812800.

The previous prime is 120712756764917. The next prime is 120712756764979. The reversal of 120712756764967 is 769467657217021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120712756764967 - 2³¹ = 120710609281319 is a prime.

It is a super-2 number, since 2×120712756764967² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120712756764896 and 120712756764905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120712756764917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53495967 + ... + 55706767.

It is an arithmetic number, because the mean of its divisors is an integer number (15095886648480).

Almost surely, 2^{120712756764967} is an apocalyptic number.

120712756764967 is a deficient number, since it is larger than the sum of its proper divisors (54336422873).

120712756764967 is a wasteful number, since it uses less digits than its factorization.

120712756764967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235353.

The product of its (nonzero) digits is 373403520, while the sum is 70.

The spelling of 120712756764967 in words is "one hundred twenty trillion, seven hundred twelve billion, seven hundred fifty-six million, seven hundred sixty-four thousand, nine hundred sixty-seven".