122031312 has 80 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 37357056.

The previous prime is 122031271. The next prime is 122031323. The reversal of 122031312 is 213130221.

It is a super-2 number, since 2×122031312² = 29783282216882688, which contains 22 as substring.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122031291 and 122031300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167493 + ... + 168219.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^122031312 is an apocalyptic number.

122031312 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 122031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

122031312 is an abundant number, since it is smaller than the sum of its proper divisors (219196848).

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

122031312 is a wasteful number, since it uses less digits than its factorization.

122031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122031312 is about 11046.7783538912. The cubic root of 122031312 is about 496.0099937286.

Adding to 122031312 its reverse (213130221), we get a palindrome (335161533).

The spelling of 122031312 in words is "one hundred twenty-two million, thirty-one thousand, three hundred twelve".