1232245200 has 120 divisors (see below), whose sum is σ = 3955906528. Its totient is φ = 327882240.

The previous prime is 1232245193. The next prime is 1232245207. The reversal of 1232245200 is 25422321.

It is an interprime number because it is at equal distance from previous prime (1232245193) and next prime (1232245207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232245207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770802 + ... + 772398.

Almost surely, 2^1232245200 is an apocalyptic number.

1232245200 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 1232245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977953264).

1232245200 is an abundant number, since it is smaller than the sum of its proper divisors (2723661328).

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

1232245200 is a wasteful number, since it uses less digits than its factorization.

1232245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1232245200 is about 35103.3502674602. The cubic root of 1232245200 is about 1072.0927975285.

Adding to 1232245200 its reverse (25422321), we get a palindrome (1257667521).

The spelling of 1232245200 in words is "one billion, two hundred thirty-two million, two hundred forty-five thousand, two hundred".