13220000 has 60 divisors (see below), whose sum is σ = 32572386. Its totient is φ = 5280000.

The previous prime is 13219979. The next prime is 13220003. The reversal of 13220000 is 2231.

It can be written as a sum of positive squares in 5 ways, for example, as 913936 + 12306064 = 956^2 + 3508^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13220000.

It is not an unprimeable number, because it can be changed into a prime (13220003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19670 + ... + 20330.

Almost surely, 2^13220000 is an apocalyptic number.

13220000 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 13220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286193).

13220000 is an abundant number, since it is smaller than the sum of its proper divisors (19352386).

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

13220000 is an frugal number, since it uses more digits than its factorization.

13220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13220000 is about 3635.9317925396. The cubic root of 13220000 is about 236.4524500381.

Adding to 13220000 its reverse (2231), we get a palindrome (13222231).

The spelling of 13220000 in words is "thirteen million, two hundred twenty thousand".