212442001112 has 128 divisors (see below), whose sum is σ = 462278361600. Its totient is φ = 90576921600.

The previous prime is 212442001111. The next prime is 212442001139. The reversal of 212442001112 is 211100244212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442001111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31050812 + ... + 31057652.

It is an arithmetic number, because the mean of its divisors is an integer number (3611549700).

Almost surely, 2^212442001112 is an apocalyptic number.

212442001112 is a gapful number since it is divisible by the number (22) 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 212442001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231139180800).

212442001112 is an abundant number, since it is smaller than the sum of its proper divisors (249836360488).

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

212442001112 is a wasteful number, since it uses less digits than its factorization.

212442001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212442001112 its reverse (211100244212), we get a palindrome (423542245324).

Subtracting from 212442001112 its reverse (211100244212), we obtain a square (1341756900 = 36630²).

The spelling of 212442001112 in words is "two hundred twelve billion, four hundred forty-two million, one thousand, one hundred twelve".