112087978371072 has 1152 divisors, whose sum is σ = 408200460595200. Its totient is φ = 30285044121600.

The previous prime is 112087978371001. The next prime is 112087978371073. The reversal of 112087978371072 is 270173879780211.

112087978371072 is a `hidden beast` number, since 1 + 120 + 8 + 7 + 9 + 78 + 371 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (112087978371073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1768168497 + ... + 1768231887.

It is an arithmetic number, because the mean of its divisors is an integer number (354340677600).

Almost surely, 2^{112087978371072} is an apocalyptic number.

112087978371072 is a gapful number since it is divisible by the number (12) 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 112087978371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204100230297600).

112087978371072 is an abundant number, since it is smaller than the sum of its proper divisors (296112482224128).

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

112087978371072 is a wasteful number, since it uses less digits than its factorization.

112087978371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63475 (or 63443 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 63.

The spelling of 112087978371072 in words is "one hundred twelve trillion, eighty-seven billion, nine hundred seventy-eight million, three hundred seventy-one thousand, seventy-two".