212230112000 has 288 divisors, whose sum is σ = 547381074240. Its totient is φ = 81938841600.

The previous prime is 212230111999. The next prime is 212230112033. The reversal of 212230112000 is 211032212.

It is a happy number.

212230112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 122463134 + ... + 122464866.

It is an arithmetic number, because the mean of its divisors is an integer number (1900628730).

Almost surely, 2^212230112000 is an apocalyptic number.

212230112000 is a gapful number since it is divisible by the number (20) 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 212230112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273690537120).

212230112000 is an abundant number, since it is smaller than the sum of its proper divisors (335150962240).

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

212230112000 is an equidigital number, since it uses as much as digits as its factorization.

212230112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212230112000 its reverse (211032212), we get a palindrome (212441144212).

The spelling of 212230112000 in words is "two hundred twelve billion, two hundred thirty million, one hundred twelve thousand".