10012024032 has 96 divisors (see below), whose sum is σ = 27223257600. Its totient is φ = 3218062848.

The previous prime is 10012024021. The next prime is 10012024049. The reversal of 10012024032 is 23042021001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2690269 + ... + 2693987.

It is an arithmetic number, because the mean of its divisors is an integer number (283575600).

Almost surely, 2^10012024032 is an apocalyptic number.

10012024032 is a gapful number since it is divisible by the number (12) 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 10012024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611628800).

10012024032 is an abundant number, since it is smaller than the sum of its proper divisors (17211233568).

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

10012024032 is a wasteful number, since it uses less digits than its factorization.

10012024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10012024032 its reverse (23042021001), we get a palindrome (33054045033).

The spelling of 10012024032 in words is "ten billion, twelve million, twenty-four thousand, thirty-two".