122072167 has 16 divisors (see below), whose sum is σ = 142168320. Its totient is φ = 102658752.

The previous prime is 122072147. The next prime is 122072177. The reversal of 122072167 is 761270221.

It is not a de Polignac number, because 122072167 - 2⁷ = 122072039 is a prime.

It is a super-2 number, since 2×122072167² = 29803227912151778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122072147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94059 + ... + 95347.

It is an arithmetic number, because the mean of its divisors is an integer number (8885520).

Almost surely, 2^122072167 is an apocalyptic number.

122072167 is a deficient number, since it is larger than the sum of its proper divisors (20096153).

122072167 is a wasteful number, since it uses less digits than its factorization.

122072167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 122072167 is about 11048.6273808107. The cubic root of 122072167 is about 496.0653408001.

The spelling of 122072167 in words is "one hundred twenty-two million, seventy-two thousand, one hundred sixty-seven".