112334420400 has 120 divisors (see below), whose sum is σ = 361999997184. Its totient is φ = 29776416000.

The previous prime is 112334420399. The next prime is 112334420467. The reversal of 112334420400 is 4024433211.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79876 + ... + 480675.

Almost surely, 2^112334420400 is an apocalyptic number.

112334420400 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 112334420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999998592).

112334420400 is an abundant number, since it is smaller than the sum of its proper divisors (249665576784).

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

112334420400 is a wasteful number, since it uses less digits than its factorization.

112334420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560739 (or 560728 counting only the distinct ones).

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

Adding to 112334420400 its reverse (4024433211), we get a palindrome (116358853611).

The spelling of 112334420400 in words is "one hundred twelve billion, three hundred thirty-four million, four hundred twenty thousand, four hundred".