1323112000 has 112 divisors (see below), whose sum is σ = 3744943488. Its totient is φ = 453619200.

The previous prime is 1323111953. The next prime is 1323112009. The reversal of 1323112000 is 2113231.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1323112009) 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, 44187 + ... + 67813.

Almost surely, 2^1323112000 is an apocalyptic number.

1323112000 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 1323112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872471744).

1323112000 is an abundant number, since it is smaller than the sum of its proper divisors (2421831488).

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

1323112000 is an equidigital number, since it uses as much as digits as its factorization.

1323112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23661 (or 23641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1323112000 is about 36374.6065270815. The cubic root of 1323112000 is about 1097.8226903822.

Adding to 1323112000 its reverse (2113231), we get a palindrome (1325225231).

The spelling of 1323112000 in words is "one billion, three hundred twenty-three million, one hundred twelve thousand".