1012000320 has 168 divisors, whose sum is σ = 3575313144. Its totient is φ = 262545408.

The previous prime is 1012000303. The next prime is 1012000337. The reversal of 1012000320 is 230002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012000303) and next prime (1012000337).

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 942244416 = 8352^2 + 30696^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101812 + ... + 111308.

Almost surely, 2^1012000320 is an apocalyptic number.

1012000320 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 1012000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787656572).

1012000320 is an abundant number, since it is smaller than the sum of its proper divisors (2563312824).

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

1012000320 is a wasteful number, since it uses less digits than its factorization.

1012000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1012000320 is about 31811.9524707302. The cubic root of 1012000320 is about 1003.9842116425.

Adding to 1012000320 its reverse (230002101), we get a palindrome (1242002421).

The spelling of 1012000320 in words is "one billion, twelve million, three hundred twenty", and thus it is an aban number.