122591268 has 54 divisors (see below), whose sum is σ = 327086214. Its totient is φ = 38708928.

The previous prime is 122591263. The next prime is 122591269. The reversal of 122591268 is 862195221.

122591268 is a `hidden beast` number, since 1 + 2 + 2 + 591 + 2 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 10188864 = 10602^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122591263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8280 + ... + 17712.

Almost surely, 2^122591268 is an apocalyptic number.

122591268 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 122591268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163543107).

122591268 is an abundant number, since it is smaller than the sum of its proper divisors (204494946).

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

122591268 is a wasteful number, since it uses less digits than its factorization.

122591268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9457 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 122591268 is about 11072.0941108717. The cubic root of 122591268 is about 496.7675043118.

The spelling of 122591268 in words is "one hundred twenty-two million, five hundred ninety-one thousand, two hundred sixty-eight".