1024401000012 has 48 divisors (see below), whose sum is σ = 2583428864352. Its totient is φ = 314062387200.

The previous prime is 1024400999971. The next prime is 1024401000017. The reversal of 1024401000012 is 2100001044201.

It is a junction number, because it is equal to n+sod(n) for n = 1024400999955 and 1024401000000.

It is not an unprimeable number, because it can be changed into a prime (1024401000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11809989 + ... + 11896412.

It is an arithmetic number, because the mean of its divisors is an integer number (53821434674).

Almost surely, 2^{1024401000012} is an apocalyptic number.

1024401000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024401000012 is an abundant number, since it is smaller than the sum of its proper divisors (1559027864340).

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

1024401000012 is a wasteful number, since it uses less digits than its factorization.

1024401000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706698 (or 23706696 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1024401000012 its reverse (2100001044201), we get a palindrome (3124402044213).

The spelling of 1024401000012 in words is "one trillion, twenty-four billion, four hundred one million, twelve", and thus it is an aban number.