221122332200000 has 672 divisors, whose sum is σ = 684258874629120. Its totient is φ = 68873414400000.

The previous prime is 221122332199957. The next prime is 221122332200023. The reversal of 221122332200000 is 2233221122.

It is a happy number.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26903795891 + ... + 26903804109.

It is an arithmetic number, because the mean of its divisors is an integer number (1018242372960).

Almost surely, 2^{221122332200000} is an apocalyptic number.

221122332200000 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 221122332200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342129437314560).

221122332200000 is an abundant number, since it is smaller than the sum of its proper divisors (463136542429120).

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

221122332200000 is an equidigital number, since it uses as much as digits as its factorization.

221122332200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221122332200000 its reverse (2233221122), we get a palindrome (221124565421122).

The spelling of 221122332200000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred thousand".