112432340400 has 240 divisors, whose sum is σ = 379600227840. Its totient is φ = 28367539200.

The previous prime is 112432340399. The next prime is 112432340407. The reversal of 112432340400 is 4043234211.

It is a tau number, because it is divible by the number of its divisors (240).

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 (112432340407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20768094 + ... + 20773506.

It is an arithmetic number, because the mean of its divisors is an integer number (1581667616).

Almost surely, 2^112432340400 is an apocalyptic number.

112432340400 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 112432340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189800113920).

112432340400 is an abundant number, since it is smaller than the sum of its proper divisors (267167887440).

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

112432340400 is a wasteful number, since it uses less digits than its factorization.

112432340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112432340400 its reverse (4043234211), we get a palindrome (116475574611).

The spelling of 112432340400 in words is "one hundred twelve billion, four hundred thirty-two million, three hundred forty thousand, four hundred".