12221000 has 96 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 4400000.

The previous prime is 12220997. The next prime is 12221021. The reversal of 12221000 is 12221.

12221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7086244 + 5134756 = 2662^2 + 2266^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 120950 + ... + 121050.

Almost surely, 2^12221000 is an apocalyptic number.

12221000 is a gapful number since it is divisible by the number (10) 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 12221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

12221000 is an abundant number, since it is smaller than the sum of its proper divisors (19523440).

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

12221000 is a wasteful number, since it uses less digits than its factorization.

12221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

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

The square root of 12221000 is about 3495.8546880556. The cubic root of 12221000 is about 230.3397624964.

Adding to 12221000 its reverse (12221), we get a palindrome (12233221).

12221000 divided by its reverse (12221) gives a cube (1000 = 10³).

It can be divided in two parts, 1222 and 1000, that added together give a palindrome (2222).

The spelling of 12221000 in words is "twelve million, two hundred twenty-one thousand".