220200212211120 has 120 divisors (see below), whose sum is σ = 740065523376192. Its totient is φ = 58675605120000.

The previous prime is 220200212211073. The next prime is 220200212211137. The reversal of 220200212211120 is 21112212002022.

It is a happy number.

220200212211120 is a `hidden beast` number, since 2 + 20 + 200 + 212 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 220200212211093 and 220200212211102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114807256 + ... + 116709495.

Almost surely, 2^{220200212211120} is an apocalyptic number.

220200212211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200212211120 is an abundant number, since it is smaller than the sum of its proper divisors (519865311165072).

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

220200212211120 is a wasteful number, since it uses less digits than its factorization.

220200212211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231518091 (or 231518082 counting only the distinct ones).

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

Adding to 220200212211120 its reverse (21112212002022), we get a palindrome (241312424213142).

The spelling of 220200212211120 in words is "two hundred twenty trillion, two hundred billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".