13230222041400 has 768 divisors, whose sum is σ = 51086556917760. Its totient is φ = 2758004121600.

The previous prime is 13230222041329. The next prime is 13230222041401. The reversal of 13230222041400 is 414022203231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230222041401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1551563937 + ... + 1551572463.

It is an arithmetic number, because the mean of its divisors is an integer number (66518954320).

Almost surely, 2^{13230222041400} is an apocalyptic number.

13230222041400 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 13230222041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25543278458880).

13230222041400 is an abundant number, since it is smaller than the sum of its proper divisors (37856334876360).

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

13230222041400 is a wasteful number, since it uses less digits than its factorization.

13230222041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13230222041400 its reverse (414022203231), we get a palindrome (13644244244631).

The spelling of 13230222041400 in words is "thirteen trillion, two hundred thirty billion, two hundred twenty-two million, forty-one thousand, four hundred".