122967288 has 64 divisors (see below), whose sum is σ = 345156000. Its totient is φ = 40559616.

The previous prime is 122967281. The next prime is 122967301. The reversal of 122967288 is 882769221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122967281) 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, 18018 + ... + 23886.

Almost surely, 2^122967288 is an apocalyptic number.

122967288 is a gapful number since it is divisible by the number (18) 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 122967288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172578000).

122967288 is an abundant number, since it is smaller than the sum of its proper divisors (222188712).

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

122967288 is a wasteful number, since it uses less digits than its factorization.

122967288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5971 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 122967288 is about 11089.0616374876. The cubic root of 122967288 is about 497.2748918879.

The spelling of 122967288 in words is "one hundred twenty-two million, nine hundred sixty-seven thousand, two hundred eighty-eight".