122967136 has 24 divisors (see below), whose sum is σ = 242573184. Its totient is φ = 61361280.

The previous prime is 122967127. The next prime is 122967139. The reversal of 122967136 is 631769221.

It is a junction number, because it is equal to n+sod(n) for n = 122967095 and 122967104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122967139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13761 + ... + 20863.

It is an arithmetic number, because the mean of its divisors is an integer number (10107216).

Almost surely, 2^122967136 is an apocalyptic number.

122967136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122967136 is a deficient number, since it is larger than the sum of its proper divisors (119606048).

122967136 is an equidigital number, since it uses as much as digits as its factorization.

122967136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7646 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 122967136 is about 11089.0547838849. The cubic root of 122967136 is about 497.2746869938.

The spelling of 122967136 in words is "one hundred twenty-two million, nine hundred sixty-seven thousand, one hundred thirty-six".