112280811417600 has 3744 divisors, whose sum is σ = 489125462776320. Its totient is φ = 22178137374720.

The previous prime is 112280811417587. The next prime is 112280811417631. The reversal of 112280811417600 is 6714118082211.

It is a super-2 number, since 2×112280811417600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 436890316672 + ... + 436890316928.

Almost surely, 2^{112280811417600} is an apocalyptic number.

112280811417600 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 112280811417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244562731388160).

112280811417600 is an abundant number, since it is smaller than the sum of its proper divisors (376844651358720).

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

112280811417600 is a wasteful number, since it uses less digits than its factorization.

112280811417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 42.

Adding to 112280811417600 its reverse (6714118082211), we get a palindrome (118994929499811).

The spelling of 112280811417600 in words is "one hundred twelve trillion, two hundred eighty billion, eight hundred eleven million, four hundred seventeen thousand, six hundred".