122109312 has 128 divisors (see below), whose sum is σ = 355914720. Its totient is φ = 36864000.

The previous prime is 122109311. The next prime is 122109313. The reversal of 122109312 is 213901221.

It is an interprime number because it is at equal distance from previous prime (122109311) and next prime (122109313).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122109312² = 29821368154226688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122109311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304312 + ... + 304712.

Almost surely, 2^122109312 is an apocalyptic number.

122109312 is a gapful number since it is divisible by the number (12) 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 122109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177957360).

122109312 is an abundant number, since it is smaller than the sum of its proper divisors (233805408).

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

122109312 is a wasteful number, since it uses less digits than its factorization.

122109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 122109312 is about 11050.3082309952. The cubic root of 122109312 is about 496.1156511449.

The spelling of 122109312 in words is "one hundred twenty-two million, one hundred nine thousand, three hundred twelve".