220221211201200 has 360 divisors, whose sum is σ = 864582053165376. Its totient is φ = 53386960032000.

The previous prime is 220221211201171. The next prime is 220221211201259. The reversal of 220221211201200 is 2102112122022.

It is a happy number.

220221211201200 is a `hidden beast` number, since 2 + 20 + 221 + 21 + 1 + 201 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 101914906 + ... + 104053305.

Almost surely, 2^{220221211201200} is an apocalyptic number.

220221211201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221211201200 is an abundant number, since it is smaller than the sum of its proper divisors (644360841964176).

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

220221211201200 is a wasteful number, since it uses less digits than its factorization.

220221211201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205968255 (or 205968232 counting only the distinct ones).

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

Adding to 220221211201200 its reverse (2102112122022), we get a palindrome (222323323323222).

The spelling of 220221211201200 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two hundred".