212112331200 has 504 divisors, whose sum is σ = 939928828800. Its totient is φ = 44075059200.

The previous prime is 212112331169. The next prime is 212112331219. The reversal of 212112331200 is 2133211212.

212112331200 is a `hidden beast` number, since 2 + 121 + 12 + 331 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1013151 + ... + 1204449.

Almost surely, 2^212112331200 is an apocalyptic number.

212112331200 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 212112331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469964414400).

212112331200 is an abundant number, since it is smaller than the sum of its proper divisors (727816497600).

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

212112331200 is a wasteful number, since it uses less digits than its factorization.

212112331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191345 (or 191327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212112331200 its reverse (2133211212), we get a palindrome (214245542412).

It can be divided in two parts, 2121 and 12331200, that added together give a palindrome (12333321).

The spelling of 212112331200 in words is "two hundred twelve billion, one hundred twelve million, three hundred thirty-one thousand, two hundred".