220211220012200 has 96 divisors (see below), whose sum is σ = 520455908269560. Its totient is φ = 86628571545600.

The previous prime is 220211220012167. The next prime is 220211220012233. The reversal of 220211220012200 is 2210022112022.

It is a happy number.

220211220012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220211220012167) and next prime (220211220012233).

It can be written as a sum of positive squares in 12 ways, for example, as 78389920324 + 220132830091876 = 279982^2 + 14836874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87786584 + ... + 90260216.

Almost surely, 2^{220211220012200} is an apocalyptic number.

220211220012200 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 220211220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260227954134780).

220211220012200 is an abundant number, since it is smaller than the sum of its proper divisors (300244688257360).

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

220211220012200 is a wasteful number, since it uses less digits than its factorization.

220211220012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481007 (or 2480998 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220211220012200 its reverse (2210022112022), we get a palindrome (222421242124222).

The spelling of 220211220012200 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty million, twelve thousand, two hundred".