221333112000 has 2688 divisors, whose sum is σ = 1104927602688. Its totient is φ = 40808448000.

The previous prime is 221333111969. The next prime is 221333112019. The reversal of 221333112000 is 211333122.

221333112000 is a `hidden beast` number, since 2 + 213 + 331 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2666663959 + ... + 2666664041.

It is an arithmetic number, because the mean of its divisors is an integer number (411059376).

Almost surely, 2^221333112000 is an apocalyptic number.

221333112000 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 221333112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552463801344).

221333112000 is an abundant number, since it is smaller than the sum of its proper divisors (883594490688).

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

221333112000 is a wasteful number, since it uses less digits than its factorization.

221333112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221333112000 its reverse (211333122), we get a palindrome (221544445122).

It can be divided in two parts, 221333 and 112000, that added together give a palindrome (333333).

The spelling of 221333112000 in words is "two hundred twenty-one billion, three hundred thirty-three million, one hundred twelve thousand".