212133312253200 has 480 divisors, whose sum is σ = 762801873694336. Its totient is φ = 50047838945280.

The previous prime is 212133312253169. The next prime is 212133312253321. The reversal of 212133312253200 is 2352213331212.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 35929704 + ... + 41415096.

Almost surely, 2^{212133312253200} is an apocalyptic number.

212133312253200 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 212133312253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381400936847168).

212133312253200 is an abundant number, since it is smaller than the sum of its proper divisors (550668561441136).

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

212133312253200 is a wasteful number, since it uses less digits than its factorization.

212133312253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485531 (or 5485520 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 212133312253200 its reverse (2352213331212), we get a palindrome (214485525584412).

The spelling of 212133312253200 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred twelve million, two hundred fifty-three thousand, two hundred".