212120121200 has 120 divisors (see below), whose sum is σ = 549003278208. Its totient is φ = 78295127040.

The previous prime is 212120121167. The next prime is 212120121217. The reversal of 212120121200 is 2121021212.

212120121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23119814 + ... + 23128986.

Almost surely, 2^212120121200 is an apocalyptic number.

212120121200 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 212120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274501639104).

212120121200 is an abundant number, since it is smaller than the sum of its proper divisors (336883157008).

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

212120121200 is a wasteful number, since it uses less digits than its factorization.

212120121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13651 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212120121200 its reverse (2121021212), we get a palindrome (214241142412).

The spelling of 212120121200 in words is "two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".