212330331120 has 160 divisors (see below), whose sum is σ = 679733637120. Its totient is φ = 54772623360.

The previous prime is 212330331067. The next prime is 212330331179. The reversal of 212330331120 is 21133033212.

It is a super-3 number, since 3×212330331120³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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, 26251717 + ... + 26259803.

It is an arithmetic number, because the mean of its divisors is an integer number (4248335232).

Almost surely, 2^212330331120 is an apocalyptic number.

212330331120 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 212330331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339866818560).

212330331120 is an abundant number, since it is smaller than the sum of its proper divisors (467403306000).

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

212330331120 is a wasteful number, since it uses less digits than its factorization.

212330331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11663 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212330331120 its reverse (21133033212), we get a palindrome (233463364332).

The spelling of 212330331120 in words is "two hundred twelve billion, three hundred thirty million, three hundred thirty-one thousand, one hundred twenty".