13222000400 has 120 divisors (see below), whose sum is σ = 36346465344. Its totient is φ = 4527936000.

The previous prime is 13222000369. The next prime is 13222000411. The reversal of 13222000400 is 400022231.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2940554 + ... + 2945046.

Almost surely, 2^13222000400 is an apocalyptic number.

13222000400 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 13222000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173232672).

13222000400 is an abundant number, since it is smaller than the sum of its proper divisors (23124464944).

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

13222000400 is a wasteful number, since it uses less digits than its factorization.

13222000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 13222000400 its reverse (400022231), we get a palindrome (13622022631).

The spelling of 13222000400 in words is "thirteen billion, two hundred twenty-two million, four hundred", and thus it is an aban number.