112002819271200 has 5760 divisors, whose sum is σ = 558425238497280. Its totient is φ = 21362923929600.

The previous prime is 112002819271171. The next prime is 112002819271201. The reversal of 112002819271200 is 2172918200211.

112002819271200 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 281 + 92 + 71 + 200 = 666.

It is a super-3 number, since 3×112002819271200³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112002819271201) 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, 68840084787 + ... + 68840086413.

It is an arithmetic number, because the mean of its divisors is an integer number (96948826128).

Almost surely, 2^{112002819271200} is an apocalyptic number.

112002819271200 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 112002819271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279212619248640).

112002819271200 is an abundant number, since it is smaller than the sum of its proper divisors (446422419226080).

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

112002819271200 is a wasteful number, since it uses less digits than its factorization.

112002819271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 112002819271200 in words is "one hundred twelve trillion, two billion, eight hundred nineteen million, two hundred seventy-one thousand, two hundred".