1232314800 has 120 divisors (see below), whose sum is σ = 3955383744. Its totient is φ = 327962880.

The previous prime is 1232314771. The next prime is 1232314801. The reversal of 1232314800 is 84132321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1232314801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059019 + ... + 1060181.

Almost surely, 2^1232314800 is an apocalyptic number.

1232314800 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 1232314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977691872).

1232314800 is an abundant number, since it is smaller than the sum of its proper divisors (2723068944).

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

1232314800 is a wasteful number, since it uses less digits than its factorization.

1232314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1232314800 is about 35104.3416118292. The cubic root of 1232314800 is about 1072.1129818917.

The spelling of 1232314800 in words is "one billion, two hundred thirty-two million, three hundred fourteen thousand, eight hundred".