212211022111200 has 1152 divisors, whose sum is σ = 884136161664000. Its totient is φ = 48118982860800.

The previous prime is 212211022111159. The next prime is 212211022111213. The reversal of 212211022111200 is 2111220112212.

212211022111200 is a `hidden beast` number, since 2 + 1 + 221 + 10 + 221 + 11 + 200 = 666.

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 191 ways as a sum of consecutive naturals, for example, 34068229686 + ... + 34068235914.

It is an arithmetic number, because the mean of its divisors is an integer number (767479307000).

Almost surely, 2^{212211022111200} is an apocalyptic number.

212211022111200 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 212211022111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442068080832000).

212211022111200 is an abundant number, since it is smaller than the sum of its proper divisors (671925139552800).

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

212211022111200 is a wasteful number, since it uses less digits than its factorization.

212211022111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212211022111200 its reverse (2111220112212), we get a palindrome (214322242223412).

The spelling of 212211022111200 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-two million, one hundred eleven thousand, two hundred".