122112012 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 34732800.

The previous prime is 122111971. The next prime is 122112017. The reversal of 122112012 is 210211221.

It is a super-2 number, since 2×122112012² = 29822686949376288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122112017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 453814 + ... + 454082.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^122112012 is an apocalyptic number.

122112012 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 122112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

122112012 is an abundant number, since it is smaller than the sum of its proper divisors (208108788).

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

122112012 is a wasteful number, since it uses less digits than its factorization.

122112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 122112012 is about 11050.4303988578. The cubic root of 122112012 is about 496.1193077112.

Adding to 122112012 its reverse (210211221), we get a palindrome (332323233).

The spelling of 122112012 in words is "one hundred twenty-two million, one hundred twelve thousand, twelve".