1024002112 has 112 divisors (see below), whose sum is σ = 2487168000. Its totient is φ = 408513024.

The previous prime is 1024002107. The next prime is 1024002127. The reversal of 1024002112 is 2112004201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

1024002112 is a modest number, since divided by 2112 gives 1024 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1024002092 and 1024002101.

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, 501189 + ... + 503227.

Almost surely, 2^1024002112 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 1024002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584000).

1024002112 is an abundant number, since it is smaller than the sum of its proper divisors (1463165888).

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

1024002112 is a wasteful number, since it uses less digits than its factorization.

1024002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

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

The square root of 1024002112 is about 32000.0329999830. The cubic root of 1024002112 is about 1007.9375328720.

Adding to 1024002112 its reverse (2112004201), we get a palindrome (3136006313).

The spelling of 1024002112 in words is "one billion, twenty-four million, two thousand, one hundred twelve".