120267567 has 24 divisors (see below), whose sum is σ = 198825120. Its totient is φ = 68624640.

The previous prime is 120267559. The next prime is 120267593. The reversal of 120267567 is 765762021.

It is not a de Polignac number, because 120267567 - 2³ = 120267559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120267527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80467 + ... + 81947.

It is an arithmetic number, because the mean of its divisors is an integer number (8284380).

Almost surely, 2^120267567 is an apocalyptic number.

120267567 is a deficient number, since it is larger than the sum of its proper divisors (78557553).

120267567 is a wasteful number, since it uses less digits than its factorization.

120267567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 120267567 is about 10966.6570567334. The cubic root of 120267567 is about 493.6087410465.

The spelling of 120267567 in words is "one hundred twenty million, two hundred sixty-seven thousand, five hundred sixty-seven".