220211201221200 has 300 divisors, whose sum is σ = 903223235117280. Its totient is φ = 50333988798720.

The previous prime is 220211201221189. The next prime is 220211201221247. The reversal of 220211201221200 is 2122102112022.

It is a happy number.

220211201221200 is a `hidden beast` number, since 2 + 20 + 21 + 1 + 201 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 485247630 + ... + 485701229.

Almost surely, 2^{220211201221200} is an apocalyptic number.

220211201221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211201221200 is an abundant number, since it is smaller than the sum of its proper divisors (683012033896080).

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

220211201221200 is a wasteful number, since it uses less digits than its factorization.

220211201221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970948896 (or 970948876 counting only the distinct ones).

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

Adding to 220211201221200 its reverse (2122102112022), we get a palindrome (222333303333222).

The spelling of 220211201221200 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred one million, two hundred twenty-one thousand, two hundred".