2200212221220 has 144 divisors (see below), whose sum is σ = 7189130540592. Its totient is φ = 541457280000.

The previous prime is 2200212221153. The next prime is 2200212221299. The reversal of 2200212221220 is 221222120022.

2200212221220 is a `hidden beast` number, since 2 + 200 + 21 + 2 + 221 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 384687733824 + 1815524487396 = 620232^2 + 1347414^2 .

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 = 2200212221193 and 2200212221202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9557470 + ... + 9784970.

It is an arithmetic number, because the mean of its divisors is an integer number (49924517643).

Almost surely, 2^{2200212221220} is an apocalyptic number.

2200212221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200212221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594565270296).

2200212221220 is an abundant number, since it is smaller than the sum of its proper divisors (4988918319372).

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

2200212221220 is a wasteful number, since it uses less digits than its factorization.

2200212221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231662 (or 231657 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2200212221220 its reverse (221222120022), we get a palindrome (2421434341242).

The spelling of 2200212221220 in words is "two trillion, two hundred billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".