1012144400 has 30 divisors (see below), whose sum is σ = 2431677882. Its totient is φ = 404857600.

The previous prime is 1012144387. The next prime is 1012144429. The reversal of 1012144400 is 44412101.

It can be written as a sum of positive squares in 3 ways, for example, as 115261696 + 896882704 = 10736^2 + 29948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1264781 + ... + 1265580.

Almost surely, 2^1012144400 is an apocalyptic number.

1012144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012144400 is an abundant number, since it is smaller than the sum of its proper divisors (1419533482).

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

1012144400 is a wasteful number, since it uses less digits than its factorization.

1012144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530379 (or 2530368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1012144400 is about 31814.2169477735. The cubic root of 1012144400 is about 1004.0318556264.

Adding to 1012144400 its reverse (44412101), we get a palindrome (1056556501).

The spelling of 1012144400 in words is "one billion, twelve million, one hundred forty-four thousand, four hundred".