221121200000 has 384 divisors, whose sum is σ = 573952327200. Its totient is φ = 84787200000.

The previous prime is 221121199979. The next prime is 221121200033. The reversal of 221121200000 is 2121122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590799931 + ... + 1590800069.

Almost surely, 2^221121200000 is an apocalyptic number.

221121200000 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 221121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286976163600).

221121200000 is an abundant number, since it is smaller than the sum of its proper divisors (352831127200).

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

221121200000 is an frugal number, since it uses more digits than its factorization.

221121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221121200000 its reverse (2121122), we get a palindrome (221123321122).

The spelling of 221121200000 in words is "two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand".