1232242510400 has 252 divisors, whose sum is σ = 3440315639040. Its totient is φ = 433631616000.

The previous prime is 1232242510393. The next prime is 1232242510417. The reversal of 1232242510400 is 40152422321.

It is a self number, because there is not a number n which added to its sum of digits gives 1232242510400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5898941 + ... + 6104259.

Almost surely, 2^{1232242510400} is an apocalyptic number.

1232242510400 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 1232242510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720157819520).

1232242510400 is an abundant number, since it is smaller than the sum of its proper divisors (2208073128640).

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

1232242510400 is a wasteful number, since it uses less digits than its factorization.

1232242510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205394 (or 205368 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 1232242510400 its reverse (40152422321), we get a palindrome (1272394932721).

The spelling of 1232242510400 in words is "one trillion, two hundred thirty-two billion, two hundred forty-two million, five hundred ten thousand, four hundred".