2221221211200 has 126 divisors (see below), whose sum is σ = 7894744690794. Its totient is φ = 592325652480.

The previous prime is 2221221211193. The next prime is 2221221211213. The reversal of 2221221211200 is 21121221222.

It is a happy number.

2221221211200 is a `hidden beast` number, since 2 + 221 + 221 + 21 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 2221220621376 = 768^2 + 1490376^2 .

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 17 ways as a sum of consecutive naturals, for example, 77111337 + ... + 77140136.

Almost surely, 2^{2221221211200} is an apocalyptic number.

2221221211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221221211200 is an abundant number, since it is smaller than the sum of its proper divisors (5673523479594).

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

2221221211200 is a wasteful number, since it uses less digits than its factorization.

2221221211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154251501 (or 154251483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221221211200 its reverse (21121221222), we get a palindrome (2242342432422).

The spelling of 2221221211200 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".