12822319120 has 80 divisors (see below), whose sum is σ = 32189939712. Its totient is φ = 4721886720.

The previous prime is 12822319067. The next prime is 12822319121. The reversal of 12822319120 is 2191322821.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12822319121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382225 + ... + 414415.

Almost surely, 2^12822319120 is an apocalyptic number.

12822319120 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 12822319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094969856).

12822319120 is an abundant number, since it is smaller than the sum of its proper divisors (19367620592).

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

12822319120 is a wasteful number, since it uses less digits than its factorization.

12822319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32600 (or 32594 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 12822319120 in words is "twelve billion, eight hundred twenty-two million, three hundred nineteen thousand, one hundred twenty".