1012310400 has 96 divisors (see below), whose sum is σ = 3334329000. Its totient is φ = 269946880.

The previous prime is 1012310389. The next prime is 1012310401. The reversal of 1012310400 is 40132101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012310401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43125 + ... + 62324.

Almost surely, 2^1012310400 is an apocalyptic number.

1012310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012310400 is an abundant number, since it is smaller than the sum of its proper divisors (2322018600).

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

1012310400 is a wasteful number, since it uses less digits than its factorization.

1012310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105476 (or 105459 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012310400 is about 31816.8257373359. The cubic root of 1012310400 is about 1004.0867424513.

Adding to 1012310400 its reverse (40132101), we get a palindrome (1052442501).

The spelling of 1012310400 in words is "one billion, twelve million, three hundred ten thousand, four hundred".