1052017144112 has 80 divisors (see below), whose sum is σ = 2236082194080. Its totient is φ = 475506585600.

The previous prime is 1052017144069. The next prime is 1052017144249. The reversal of 1052017144112 is 2114417102501.

1052017144112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052017144112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33073688 + ... + 33105480.

It is an arithmetic number, because the mean of its divisors is an integer number (27951027426).

Almost surely, 2^{1052017144112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052017144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118041097040).

1052017144112 is an abundant number, since it is smaller than the sum of its proper divisors (1184065049968).

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

1052017144112 is a wasteful number, since it uses less digits than its factorization.

1052017144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32862 (or 32856 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 1052017144112 in words is "one trillion, fifty-two billion, seventeen million, one hundred forty-four thousand, one hundred twelve".