1020040312 has 64 divisors (see below), whose sum is σ = 2003601600. Its totient is φ = 486466560.

The previous prime is 1020040291. The next prime is 1020040339. The reversal of 1020040312 is 2130400201.

1020040312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1020040292 and 1020040301.

It is a congruent number.

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, 3682318 + ... + 3682594.

It is an arithmetic number, because the mean of its divisors is an integer number (31306275).

Almost surely, 2^1020040312 is an apocalyptic number.

It is an amenable number.

1020040312 is a deficient number, since it is larger than the sum of its proper divisors (983561288).

1020040312 is a wasteful number, since it uses less digits than its factorization.

1020040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1020040312 is about 31938.0699479477. The cubic root of 1020040312 is about 1006.6359704882.

Adding to 1020040312 its reverse (2130400201), we get a palindrome (3150440513).

The spelling of 1020040312 in words is "one billion, twenty million, forty thousand, three hundred twelve".