112041268416000 has 9600 divisors, whose sum is σ = 591724727193600. Its totient is φ = 20495794176000.

The previous prime is 112041268415971. The next prime is 112041268416001. The reversal of 112041268416000 is 614862140211.

112041268416000 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 1 + 2 + 6 + 8 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112041268416001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1418243903961 + ... + 1418243904039.

It is an arithmetic number, because the mean of its divisors is an integer number (61637992416).

Almost surely, 2^{112041268416000} is an apocalyptic number.

112041268416000 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 112041268416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295862363596800).

112041268416000 is an abundant number, since it is smaller than the sum of its proper divisors (479683458777600).

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

112041268416000 is a wasteful number, since it uses less digits than its factorization.

112041268416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 112041268416000 in words is "one hundred twelve trillion, forty-one billion, two hundred sixty-eight million, four hundred sixteen thousand".