122509008 has 60 divisors (see below), whose sum is σ = 346102848. Its totient is φ = 40449600.

The previous prime is 122509001. The next prime is 122509019. The reversal of 122509008 is 800905221.

It is a super-2 number, since 2×122509008² = 30016914082288128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122509001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11433 + ... + 19383.

Almost surely, 2^122509008 is an apocalyptic number.

122509008 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 122509008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173051424).

122509008 is an abundant number, since it is smaller than the sum of its proper divisors (223593840).

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

122509008 is a wasteful number, since it uses less digits than its factorization.

122509008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 122509008 is about 11068.3787430680. The cubic root of 122509008 is about 496.6563674175.

The spelling of 122509008 in words is "one hundred twenty-two million, five hundred nine thousand, eight".