221200112000 has 192 divisors, whose sum is σ = 639750234240. Its totient is φ = 75839769600.

The previous prime is 221200111991. The next prime is 221200112017. The reversal of 221200112000 is 211002122.

It is a happy number.

It is a congruent number.

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, 642929 + ... + 925071.

It is an arithmetic number, because the mean of its divisors is an integer number (3332032470).

Almost surely, 2^221200112000 is an apocalyptic number.

221200112000 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 221200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319875117120).

221200112000 is an abundant number, since it is smaller than the sum of its proper divisors (418550122240).

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

221200112000 is an equidigital number, since it uses as much as digits as its factorization.

221200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282186 (or 282157 counting only the distinct ones).

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

Adding to 221200112000 its reverse (211002122), we get a palindrome (221411114122).

The spelling of 221200112000 in words is "two hundred twenty-one billion, two hundred million, one hundred twelve thousand".