212133303300 has 288 divisors, whose sum is σ = 676156723200. Its totient is φ = 51110231040.

The previous prime is 212133303293. The next prime is 212133303311. The reversal of 212133303300 is 3303331212.

212133303300 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 95 ways as a sum of consecutive naturals, for example, 48111496 + ... + 48115904.

It is an arithmetic number, because the mean of its divisors is an integer number (2347766400).

Almost surely, 2^212133303300 is an apocalyptic number.

212133303300 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 212133303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338078361600).

212133303300 is an abundant number, since it is smaller than the sum of its proper divisors (464023419900).

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

212133303300 is a wasteful number, since it uses less digits than its factorization.

212133303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 212133303300 its reverse (3303331212), we get a palindrome (215436634512).

The spelling of 212133303300 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred three thousand, three hundred".