1020217070112 has 96 divisors (see below), whose sum is σ = 2712561223680. Its totient is φ = 335694378240.

The previous prime is 1020217070063. The next prime is 1020217070141. The reversal of 1020217070112 is 2110707120201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43088037 + ... + 43111707.

It is an arithmetic number, because the mean of its divisors is an integer number (28255846080).

Almost surely, 2^{1020217070112} is an apocalyptic number.

1020217070112 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 1020217070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356280611840).

1020217070112 is an abundant number, since it is smaller than the sum of its proper divisors (1692344153568).

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

1020217070112 is a wasteful number, since it uses less digits than its factorization.

1020217070112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29446 (or 29438 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The spelling of 1020217070112 in words is "one trillion, twenty billion, two hundred seventeen million, seventy thousand, one hundred twelve".