212234131200 has 1728 divisors, whose sum is σ = 916902425600. Its totient is φ = 42918543360.

The previous prime is 212234131199. The next prime is 212234131201. The reversal of 212234131200 is 2131432212.

It is an interprime number because it is at equal distance from previous prime (212234131199) and next prime (212234131201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212234131201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3167673567 + ... + 3167673633.

Almost surely, 2^212234131200 is an apocalyptic number.

212234131200 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 212234131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458451212800).

212234131200 is an abundant number, since it is smaller than the sum of its proper divisors (704668294400).

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

212234131200 is a wasteful number, since it uses less digits than its factorization.

212234131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212234131200 its reverse (2131432212), we get a palindrome (214365563412).

The spelling of 212234131200 in words is "two hundred twelve billion, two hundred thirty-four million, one hundred thirty-one thousand, two hundred".