212300301133200 has 1440 divisors, whose sum is σ = 817847779392000. Its totient is φ = 46909100851200.

The previous prime is 212300301133187. The next prime is 212300301133247. The reversal of 212300301133200 is 2331103003212.

It is a super-2 number, since 2×212300301133200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 131945493996 + ... + 131945495604.

It is an arithmetic number, because the mean of its divisors is an integer number (567949846800).

Almost surely, 2^{212300301133200} is an apocalyptic number.

212300301133200 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 212300301133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408923889696000).

212300301133200 is an abundant number, since it is smaller than the sum of its proper divisors (605547478258800).

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

212300301133200 is a wasteful number, since it uses less digits than its factorization.

212300301133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2135 counting only the distinct ones).

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

Adding to 212300301133200 its reverse (2331103003212), we get a palindrome (214631404136412).

The spelling of 212300301133200 in words is "two hundred twelve trillion, three hundred billion, three hundred one million, one hundred thirty-three thousand, two hundred".