120005667 has 12 divisors (see below), whose sum is σ = 173533360. Its totient is φ = 79915248.

The previous prime is 120005597. The next prime is 120005671. The reversal of 120005667 is 766500021.

It is not a de Polignac number, because 120005667 - 2¹⁴ = 119989283 is a prime.

It is a super-2 number, since 2×120005667² = 28802720224229778, which contains 22 as substring.

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 120005667.

It is not an unprimeable number, because it can be changed into a prime (120005687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1809 + ... + 15597.

Almost surely, 2^120005667 is an apocalyptic number.

120005667 is a deficient number, since it is larger than the sum of its proper divisors (53527693).

120005667 is a wasteful number, since it uses less digits than its factorization.

120005667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 120005667 is about 10954.7098090273. The cubic root of 120005667 is about 493.2501792016.

Adding to 120005667 its reverse (766500021), we get a palindrome (886505688).

The spelling of 120005667 in words is "one hundred twenty million, five thousand, six hundred sixty-seven".