212132122111200 has 576 divisors, whose sum is σ = 721413941552640. Its totient is φ = 54088621056000.

The previous prime is 212132122111181. The next prime is 212132122111243. The reversal of 212132122111200 is 2111221231212.

212132122111200 is digitally balanced in base 2, 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 95 ways as a sum of consecutive naturals, for example, 23005322590 + ... + 23005331810.

It is an arithmetic number, because the mean of its divisors is an integer number (1252454759640).

Almost surely, 2^{212132122111200} is an apocalyptic number.

212132122111200 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 212132122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360706970776320).

212132122111200 is an abundant number, since it is smaller than the sum of its proper divisors (509281819441440).

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

212132122111200 is a wasteful number, since it uses less digits than its factorization.

212132122111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 212132122111200 its reverse (2111221231212), we get a palindrome (214243343342412).

The spelling of 212132122111200 in words is "two hundred twelve trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".