13022210400 has 144 divisors (see below), whose sum is σ = 42763294224. Its totient is φ = 3441786880.

The previous prime is 13022210389. The next prime is 13022210417. The reversal of 13022210400 is 401222031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13022210400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247192 + ... + 295208.

It is an arithmetic number, because the mean of its divisors is an integer number (296967321).

Almost surely, 2^13022210400 is an apocalyptic number.

13022210400 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 13022210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21381647112).

13022210400 is an abundant number, since it is smaller than the sum of its proper divisors (29741083824).

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

13022210400 is a wasteful number, since it uses less digits than its factorization.

13022210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48153 (or 48140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13022210400 its reverse (401222031), we get a palindrome (13423432431).

The spelling of 13022210400 in words is "thirteen billion, twenty-two million, two hundred ten thousand, four hundred".