122117112 has 128 divisors (see below), whose sum is σ = 368961600. Its totient is φ = 37200384.

The previous prime is 122117111. The next prime is 122117113. The reversal of 122117112 is 211711221.

It is an interprime number because it is at equal distance from previous prime (122117111) and next prime (122117113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122117111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440718 + ... + 440994.

Almost surely, 2^122117112 is an apocalyptic number.

122117112 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 122117112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184480800).

122117112 is an abundant number, since it is smaller than the sum of its proper divisors (246844488).

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

122117112 is a wasteful number, since it uses less digits than its factorization.

122117112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 122117112 is about 11050.6611566910. The cubic root of 122117112 is about 496.1262144116.

Adding to 122117112 its reverse (211711221), we get a palindrome (333828333).

The spelling of 122117112 in words is "one hundred twenty-two million, one hundred seventeen thousand, one hundred twelve".