10024012240512 has 64 divisors (see below), whose sum is σ = 26632931544000. Its totient is φ = 3340503025664.

The previous prime is 10024012240499. The next prime is 10024012240523. The reversal of 10024012240512 is 21504221042001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10024012240512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1718637 + ... + 4796012.

It is an arithmetic number, because the mean of its divisors is an integer number (416139555375).

Almost surely, 2^{10024012240512} is an apocalyptic number.

10024012240512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024012240512 is an abundant number, since it is smaller than the sum of its proper divisors (16608919303488).

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

10024012240512 is an equidigital number, since it uses as much as digits as its factorization.

10024012240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518673 (or 6518661 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10024012240512 its reverse (21504221042001), we get a palindrome (31528233282513).

The spelling of 10024012240512 in words is "ten trillion, twenty-four billion, twelve million, two hundred forty thousand, five hundred twelve".