112480308501120 has 768 divisors, whose sum is σ = 471362487148800. Its totient is φ = 24127660228608.

The previous prime is 112480308501109. The next prime is 112480308501151. The reversal of 112480308501120 is 21105803084211.

It is a happy number.

112480308501120 is a `hidden beast` number, since 1 + 1 + 2 + 480 + 3 + 0 + 8 + 50 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237611226 + ... + 238084134.

It is an arithmetic number, because the mean of its divisors is an integer number (613753238475).

Almost surely, 2^{112480308501120} is an apocalyptic number.

112480308501120 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 112480308501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235681243574400).

112480308501120 is an abundant number, since it is smaller than the sum of its proper divisors (358882178647680).

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

112480308501120 is a wasteful number, since it uses less digits than its factorization.

112480308501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473305 (or 473290 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 112480308501120 in words is "one hundred twelve trillion, four hundred eighty billion, three hundred eight million, five hundred one thousand, one hundred twenty".