122967080 has 64 divisors (see below), whose sum is σ = 288161280. Its totient is φ = 47174400.

The previous prime is 122967079. The next prime is 122967109. The reversal of 122967080 is 80769221.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 122967080.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162062 + ... + 162818.

It is an arithmetic number, because the mean of its divisors is an integer number (4502520).

Almost surely, 2^122967080 is an apocalyptic number.

122967080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122967080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144080640).

122967080 is an abundant number, since it is smaller than the sum of its proper divisors (165194200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122967080 is a wasteful number, since it uses less digits than its factorization.

122967080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 122967080 is about 11089.0522588723. The cubic root of 122967080 is about 497.2746115064.

The spelling of 122967080 in words is "one hundred twenty-two million, nine hundred sixty-seven thousand, eighty".