13422023023200 has 576 divisors, whose sum is σ = 50945658269184. Its totient is φ = 3036436480000.

The previous prime is 13422023023151. The next prime is 13422023023217. The reversal of 13422023023200 is 232032022431.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 24625630 + ... + 25164770.

It is an arithmetic number, because the mean of its divisors is an integer number (88447323384).

Almost surely, 2^{13422023023200} is an apocalyptic number.

13422023023200 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 13422023023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472829134592).

13422023023200 is an abundant number, since it is smaller than the sum of its proper divisors (37523635245984).

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

13422023023200 is a wasteful number, since it uses less digits than its factorization.

13422023023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539239 (or 539226 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13422023023200 its reverse (232032022431), we get a palindrome (13654055045631).

The spelling of 13422023023200 in words is "thirteen trillion, four hundred twenty-two billion, twenty-three million, twenty-three thousand, two hundred".