1004312112 has 80 divisors (see below), whose sum is σ = 2724373248. Its totient is φ = 318193920.

The previous prime is 1004312081. The next prime is 1004312117. The reversal of 1004312112 is 2112134001.

It is a junction number, because it is equal to n+sod(n) for n = 1004312091 and 1004312100.

It is not an unprimeable number, because it can be changed into a prime (1004312117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177162 + ... + 182742.

Almost surely, 2^1004312112 is an apocalyptic number.

1004312112 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 1004312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362186624).

1004312112 is an abundant number, since it is smaller than the sum of its proper divisors (1720061136).

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

1004312112 is a wasteful number, since it uses less digits than its factorization.

1004312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1004312112 is about 31690.8837364943. The cubic root of 1004312112 is about 1001.4353095675.

Adding to 1004312112 its reverse (2112134001), we get a palindrome (3116446113).

It can be divided in two parts, 10043 and 12112, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 1004312112 in words is "one billion, four million, three hundred twelve thousand, one hundred twelve".