221130112 has 128 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 90157056.

The previous prime is 221130109. The next prime is 221130127. The reversal of 221130112 is 211031122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221130092 and 221130101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484564 + ... + 2484652.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^221130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

221130112 is an abundant number, since it is smaller than the sum of its proper divisors (307637888).

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

221130112 is an equidigital number, since it uses as much as digits as its factorization.

221130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 221130112 is about 14870.4442435322. Note that the first 3 decimals coincide. The cubic root of 221130112 is about 604.7129863713.

Adding to 221130112 its reverse (211031122), we get a palindrome (432161234).

It can be divided in two parts, 2211 and 30112, that added together give a palindrome (32323).

The spelling of 221130112 in words is "two hundred twenty-one million, one hundred thirty thousand, one hundred twelve".