12281829792 has 192 divisors, whose sum is σ = 35050506624. Its totient is φ = 3751280640.

The previous prime is 12281829737. The next prime is 12281829793. The reversal of 12281829792 is 29792818221.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12281829793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10651488 + ... + 10652640.

It is an arithmetic number, because the mean of its divisors is an integer number (182554722).

Almost surely, 2^12281829792 is an apocalyptic number.

12281829792 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 12281829792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17525253312).

12281829792 is an abundant number, since it is smaller than the sum of its proper divisors (22768676832).

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

12281829792 is a wasteful number, since it uses less digits than its factorization.

12281829792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The spelling of 12281829792 in words is "twelve billion, two hundred eighty-one million, eight hundred twenty-nine thousand, seven hundred ninety-two".