112122122000 has 160 divisors (see below), whose sum is σ = 310225144320. Its totient is φ = 38394278400.

The previous prime is 112122121921. The next prime is 112122122017. The reversal of 112122122000 is 221221211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12413486 + ... + 12422514.

It is an arithmetic number, because the mean of its divisors is an integer number (1938907152).

Almost surely, 2^112122122000 is an apocalyptic number.

112122122000 is a gapful number since it is divisible by the number (10) 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 112122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155112572160).

112122122000 is an abundant number, since it is smaller than the sum of its proper divisors (198103022320).

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

112122122000 is an equidigital number, since it uses as much as digits as its factorization.

112122122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112122122000 its reverse (221221211), we get a palindrome (112343343211).

The spelling of 112122122000 in words is "one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand".