212211321121200 has 120 divisors (see below), whose sum is σ = 703224412520400. Its totient is φ = 54638317153280.

The previous prime is 212211321121181. The next prime is 212211321121243. The reversal of 212211321121200 is 2121123112212.

It is a tau number, because it is divible by the number of its divisors (120).

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, 3048978435 + ... + 3049048034.

It is an arithmetic number, because the mean of its divisors is an integer number (5860203437670).

Almost surely, 2^{212211321121200} is an apocalyptic number.

212211321121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211321121200 is an abundant number, since it is smaller than the sum of its proper divisors (491013091399200).

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

212211321121200 is a wasteful number, since it uses less digits than its factorization.

212211321121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098026519 (or 6098026508 counting only the distinct ones).

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

Adding to 212211321121200 its reverse (2121123112212), we get a palindrome (214332444233412).

The spelling of 212211321121200 in words is "two hundred twelve trillion, two hundred eleven billion, three hundred twenty-one million, one hundred twenty-one thousand, two hundred".