1002812112 has 120 divisors (see below), whose sum is σ = 2974575240. Its totient is φ = 314818560.

The previous prime is 1002812089. The next prime is 1002812113. The reversal of 1002812112 is 2112182001.

It can be written as a sum of positive squares in 4 ways, for example, as 150405696 + 852406416 = 12264^2 + 29196^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002812113) 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, 168288 + ... + 174144.

It is an arithmetic number, because the mean of its divisors is an integer number (24788127).

Almost surely, 2^1002812112 is an apocalyptic number.

1002812112 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 1002812112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487287620).

1002812112 is an abundant number, since it is smaller than the sum of its proper divisors (1971763128).

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

1002812112 is a wasteful number, since it uses less digits than its factorization.

1002812112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1002812112 is about 31667.2087813246. The cubic root of 1002812112 is about 1000.9364933731.

Adding to 1002812112 its reverse (2112182001), we get a palindrome (3114994113).

The spelling of 1002812112 in words is "one billion, two million, eight hundred twelve thousand, one hundred twelve".