12823093920 has 384 divisors, whose sum is σ = 52334069760. Its totient is φ = 2562969600.

The previous prime is 12823093889. The next prime is 12823093951. The reversal of 12823093920 is 2939032821.

It is an interprime number because it is at equal distance from previous prime (12823093889) and next prime (12823093951).

It is a super-2 number, since 2×12823093920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822195 + ... + 837645.

It is an arithmetic number, because the mean of its divisors is an integer number (136286640).

Almost surely, 2^12823093920 is an apocalyptic number.

12823093920 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 12823093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26167034880).

12823093920 is an abundant number, since it is smaller than the sum of its proper divisors (39510975840).

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

12823093920 is a wasteful number, since it uses less digits than its factorization.

12823093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15508 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 12823093920 in words is "twelve billion, eight hundred twenty-three million, ninety-three thousand, nine hundred twenty".