212120221111200 has 144 divisors (see below), whose sum is σ = 767168133096960. Its totient is φ = 56565392290560.

The previous prime is 212120221111199. The next prime is 212120221111237. The reversal of 212120221111200 is 2111122021212.

212120221111200 is a `hidden beast` number, since 2 + 12 + 120 + 221 + 111 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4910168704 + ... + 4910211903.

It is an arithmetic number, because the mean of its divisors is an integer number (5327556479840).

Almost surely, 2^{212120221111200} is an apocalyptic number.

212120221111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120221111200 is an abundant number, since it is smaller than the sum of its proper divisors (555047911985760).

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

212120221111200 is a wasteful number, since it uses less digits than its factorization.

212120221111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820380636 (or 9820380617 counting only the distinct ones).

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

Adding to 212120221111200 its reverse (2111122021212), we get a palindrome (214231343132412).

The spelling of 212120221111200 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".