1012334400 has 756 divisors, whose sum is σ = 4574353056. Its totient is φ = 207820800.

The previous prime is 1012334381. The next prime is 1012334417. The reversal of 1012334400 is 44332101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12196759 + ... + 12196841.

Almost surely, 2^1012334400 is an apocalyptic number.

1012334400 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 1012334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287176528).

1012334400 is an abundant number, since it is smaller than the sum of its proper divisors (3562018656).

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

1012334400 is a wasteful number, since it uses less digits than its factorization.

1012334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1012334400 is about 31817.2028940320. The cubic root of 1012334400 is about 1004.0946773994.

Adding to 1012334400 its reverse (44332101), we get a palindrome (1056666501).

The spelling of 1012334400 in words is "one billion, twelve million, three hundred thirty-four thousand, four hundred".