1012320400 has 360 divisors, whose sum is σ = 3174874920. Its totient is φ = 307077120.

The previous prime is 1012320349. The next prime is 1012320431. The reversal of 1012320400 is 40232101.

It can be written as a sum of positive squares in 12 ways, for example, as 394101904 + 618218496 = 19852^2 + 24864^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7389132 + ... + 7389268.

It is an arithmetic number, because the mean of its divisors is an integer number (8819097).

Almost surely, 2^1012320400 is an apocalyptic number.

1012320400 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 1012320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587437460).

1012320400 is an abundant number, since it is smaller than the sum of its proper divisors (2162554520).

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

1012320400 is a wasteful number, since it uses less digits than its factorization.

1012320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

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

The square root of 1012320400 is about 31816.9828865026. The cubic root of 1012320400 is about 1004.0900486949.

Adding to 1012320400 its reverse (40232101), we get a palindrome (1052552501).

The spelling of 1012320400 in words is "one billion, twelve million, three hundred twenty thousand, four hundred".