221112000 has 336 divisors, whose sum is σ = 822118752. Its totient is φ = 56678400.

The previous prime is 221111983. The next prime is 221112019. The reversal of 221112000 is 211122.

221112000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663959 + ... + 2664041.

It is an arithmetic number, because the mean of its divisors is an integer number (2446782).

Almost surely, 2^221112000 is an apocalyptic number.

221112000 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 221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411059376).

221112000 is an abundant number, since it is smaller than the sum of its proper divisors (601006752).

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

221112000 is a wasteful number, since it uses less digits than its factorization.

221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 221112000 is about 14869.8352378229. The cubic root of 221112000 is about 604.6964759399.

Adding to 221112000 its reverse (211122), we get a palindrome (221323122).

The spelling of 221112000 in words is "two hundred twenty-one million, one hundred twelve thousand".