212211201211200 has 126 divisors (see below), whose sum is σ = 754248714578294. Its totient is φ = 56589653652480.

The previous prime is 212211201211147. The next prime is 212211201211223. The reversal of 212211201211200 is 2112102112212.

212211201211200 is a `hidden beast` number, since 2 + 1 + 221 + 120 + 121 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16989499036224 + 195221702174976 = 4121832^2 + 13972176^2 .

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 17 ways as a sum of consecutive naturals, for example, 7368430087 + ... + 7368458886.

Almost surely, 2^{212211201211200} is an apocalyptic number.

212211201211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211201211200 is an abundant number, since it is smaller than the sum of its proper divisors (542037513367094).

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

212211201211200 is a wasteful number, since it uses less digits than its factorization.

212211201211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14736889001 (or 14736888983 counting only the distinct ones).

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

Adding to 212211201211200 its reverse (2112102112212), we get a palindrome (214323303323412).

The spelling of 212211201211200 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred one million, two hundred eleven thousand, two hundred".