1017842882112 has 168 divisors, whose sum is σ = 3336871127616. Its totient is φ = 290583051264.

The previous prime is 1017842882099. The next prime is 1017842882113. The reversal of 1017842882112 is 2112882487101.

1017842882112 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 8 + 428 + 8 + 211 + 2 = 666.

1017842882112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1017842882113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5050023 + ... + 5247705.

Almost surely, 2^{1017842882112} is an apocalyptic number.

1017842882112 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 1017842882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668435563808).

1017842882112 is an abundant number, since it is smaller than the sum of its proper divisors (2319028245504).

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

1017842882112 is a wasteful number, since it uses less digits than its factorization.

1017842882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198985 (or 198972 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 1017842882112 in words is "one trillion, seventeen billion, eight hundred forty-two million, eight hundred eighty-two thousand, one hundred twelve".