212231041013200 has 240 divisors, whose sum is σ = 566807399236800. Its totient is φ = 75708896972800.

The previous prime is 212231041013183. The next prime is 212231041013209. The reversal of 212231041013200 is 2310140132212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212231041013209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916615436 + ... + 1916726164.

It is an arithmetic number, because the mean of its divisors is an integer number (2361697496820).

Almost surely, 2^{212231041013200} is an apocalyptic number.

212231041013200 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 212231041013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283403699618400).

212231041013200 is an abundant number, since it is smaller than the sum of its proper divisors (354576358223600).

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

212231041013200 is a wasteful number, since it uses less digits than its factorization.

212231041013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119030 (or 119019 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212231041013200 its reverse (2310140132212), we get a palindrome (214541181145412).

The spelling of 212231041013200 in words is "two hundred twelve trillion, two hundred thirty-one billion, forty-one million, thirteen thousand, two hundred".