112467000320 has 176 divisors, whose sum is σ = 275692383648. Its totient is φ = 44012666880.

The previous prime is 112467000319. The next prime is 112467000341. The reversal of 112467000320 is 23000764211.

112467000320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 335361²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 112467000320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48961412 + ... + 48963708.

It is an arithmetic number, because the mean of its divisors is an integer number (1566433998).

Almost surely, 2^112467000320 is an apocalyptic number.

112467000320 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 112467000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137846191824).

112467000320 is an abundant number, since it is smaller than the sum of its proper divisors (163225383328).

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

112467000320 is a wasteful number, since it uses less digits than its factorization.

112467000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 112467000320 its reverse (23000764211), we get a palindrome (135467764531).

The spelling of 112467000320 in words is "one hundred twelve billion, four hundred sixty-seven million, three hundred twenty", and thus it is an aban number.