1020112240 has 80 divisors (see below), whose sum is σ = 2714969088. Its totient is φ = 349187328.

The previous prime is 1020112189. The next prime is 1020112241. The reversal of 1020112240 is 422110201.

It is a happy number.

1020112240 is digitally balanced in base 6, 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1020112240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112241) by changing a digit.

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, 493449 + ... + 495511.

Almost surely, 2^1020112240 is an apocalyptic number.

1020112240 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 1020112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357484544).

1020112240 is an abundant number, since it is smaller than the sum of its proper divisors (1694856848).

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

1020112240 is a wasteful number, since it uses less digits than its factorization.

1020112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1020112240 is about 31939.1959823662. The cubic root of 1020112240 is about 1006.6596308637.

Adding to 1020112240 its reverse (422110201), we get a palindrome (1442222441).

The spelling of 1020112240 in words is "one billion, twenty million, one hundred twelve thousand, two hundred forty".