13022000 has 80 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 4889600.

The previous prime is 13021999. The next prime is 13022003. The reversal of 13022000 is 22031.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (13022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33809 + ... + 34191.

Almost surely, 2^13022000 is an apocalyptic number.

13022000 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 13022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

13022000 is an abundant number, since it is smaller than the sum of its proper divisors (20404432).

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

13022000 is a wasteful number, since it uses less digits than its factorization.

13022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

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

The square root of 13022000 is about 3608.6008368896. The cubic root of 13022000 is about 235.2660334128.

Adding to 13022000 its reverse (22031), we get a palindrome (13044031).

The spelling of 13022000 in words is "thirteen million, twenty-two thousand".