122193008 has 80 divisors (see below), whose sum is σ = 296498880. Its totient is φ = 47566848.

The previous prime is 122193007. The next prime is 122193023. The reversal of 122193008 is 800391221.

It is a super-2 number, since 2×122193008² = 29862262408176128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122193007) 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, 54110 + ... + 56322.

It is an arithmetic number, because the mean of its divisors is an integer number (3706236).

Almost surely, 2^122193008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122193008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148249440).

122193008 is an abundant number, since it is smaller than the sum of its proper divisors (174305872).

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

122193008 is a wasteful number, since it uses less digits than its factorization.

122193008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 122193008 is about 11054.0946259746. The cubic root of 122193008 is about 496.2289742311.

The spelling of 122193008 in words is "one hundred twenty-two million, one hundred ninety-three thousand, eight".