220221211212200 has 192 divisors, whose sum is σ = 588560932814400. Its totient is φ = 75788014694400.

The previous prime is 220221211212187. The next prime is 220221211212217. The reversal of 220221211212200 is 2212112122022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 38142362 + ... + 43534838.

It is an arithmetic number, because the mean of its divisors is an integer number (3065421525075).

Almost surely, 2^{220221211212200} is an apocalyptic number.

220221211212200 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 220221211212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294280466407200).

220221211212200 is an abundant number, since it is smaller than the sum of its proper divisors (368339721602200).

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

220221211212200 is a wasteful number, since it uses less digits than its factorization.

220221211212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393500 (or 5393491 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220221211212200 its reverse (2212112122022), we get a palindrome (222433323334222).

It can be divided in two parts, 2 and 20221211212200, that added together give a palindrome (20221211212202).

The spelling of 220221211212200 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, two hundred".