112437242400 has 432 divisors, whose sum is σ = 448151628960. Its totient is φ = 24346828800.

The previous prime is 112437242387. The next prime is 112437242431. The reversal of 112437242400 is 4242734211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2209240 + ... + 2259560.

It is an arithmetic number, because the mean of its divisors is an integer number (1037388030).

Almost surely, 2^112437242400 is an apocalyptic number.

112437242400 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 112437242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224075814480).

112437242400 is an abundant number, since it is smaller than the sum of its proper divisors (335714386560).

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

112437242400 is a wasteful number, since it uses less digits than its factorization.

112437242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50377 (or 50357 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 112437242400 its reverse (4242734211), we get a palindrome (116679976611).

The spelling of 112437242400 in words is "one hundred twelve billion, four hundred thirty-seven million, two hundred forty-two thousand, four hundred".