122291136 has 84 divisors (see below), whose sum is σ = 382411224. Its totient is φ = 37056000.

The previous prime is 122291123. The next prime is 122291159. The reversal of 122291136 is 631192221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 15986.

Almost surely, 2^122291136 is an apocalyptic number.

122291136 is a gapful number since it is divisible by the number (16) 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 122291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191205612).

122291136 is an abundant number, since it is smaller than the sum of its proper divisors (260120088).

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

122291136 is a wasteful number, since it uses less digits than its factorization.

122291136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19330 (or 19317 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 122291136 is about 11058.5322715087. The cubic root of 122291136 is about 496.3617721403.

The spelling of 122291136 in words is "one hundred twenty-two million, two hundred ninety-one thousand, one hundred thirty-six".