13222190997792 has 576 divisors, whose sum is σ = 45888261713280. Its totient is φ = 3692057241600.

The previous prime is 13222190997791. The next prime is 13222190997839. The reversal of 13222190997792 is 29779909122231.

13222190997792 is a `hidden beast` number, since 1 + 322 + 219 + 0 + 9 + 9 + 7 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13222190997791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405435567 + ... + 405468177.

It is an arithmetic number, because the mean of its divisors is an integer number (79667121030).

Almost surely, 2^{13222190997792} is an apocalyptic number.

13222190997792 is a gapful number since it is divisible by the number (12) 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 13222190997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944130856640).

13222190997792 is an abundant number, since it is smaller than the sum of its proper divisors (32666070715488).

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

13222190997792 is a wasteful number, since it uses less digits than its factorization.

13222190997792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32862 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 13222190997792 in words is "thirteen trillion, two hundred twenty-two billion, one hundred ninety million, nine hundred ninety-seven thousand, seven hundred ninety-two".