220211122021200 has 180 divisors, whose sum is σ = 769061241342108. Its totient is φ = 58348934092800.

The previous prime is 220211122021183. The next prime is 220211122021213. The reversal of 220211122021200 is 2120221112022.

It is a happy number.

220211122021200 is a `hidden beast` number, since 2 + 20 + 211 + 1 + 220 + 212 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2222079160896 + 217989042860304 = 1490664^2 + 14764452^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 194242941 + ... + 195373340.

Almost surely, 2^{220211122021200} is an apocalyptic number.

220211122021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211122021200 is an abundant number, since it is smaller than the sum of its proper divisors (548850119320908).

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

220211122021200 is a wasteful number, since it uses less digits than its factorization.

220211122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389616462 (or 389616448 counting only the distinct ones).

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

Adding to 220211122021200 its reverse (2120221112022), we get a palindrome (222331343133222).

The spelling of 220211122021200 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred twenty-two million, twenty-one thousand, two hundred".