221210220000000 has 1152 divisors, whose sum is σ = 917536476100608. Its totient is φ = 45964800000000.

The previous prime is 221210219999969. The next prime is 221210220000053. The reversal of 221210220000000 is 22012122.

It is a super-2 number, since 2×221210220000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4619976060 + ... + 4620023940.

It is an arithmetic number, because the mean of its divisors is an integer number (796472635504).

Almost surely, 2^{221210220000000} is an apocalyptic number.

221210220000000 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 221210220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458768238050304).

221210220000000 is an abundant number, since it is smaller than the sum of its proper divisors (696326256100608).

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

221210220000000 is an frugal number, since it uses more digits than its factorization.

221210220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47953 (or 47909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221210220000000 its reverse (22012122), we get a palindrome (221210242012122).

The spelling of 221210220000000 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty million", and thus it is an aban number.