10121124432 has 80 divisors (see below), whose sum is σ = 26437419008. Its totient is φ = 3336232320.

The previous prime is 10121124427. The next prime is 10121124443. The reversal of 10121124432 is 23442112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121124399 and 10121124408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085233 + ... + 6086895.

Almost surely, 2^10121124432 is an apocalyptic number.

10121124432 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 10121124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218709504).

10121124432 is an abundant number, since it is smaller than the sum of its proper divisors (16316294576).

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

10121124432 is a wasteful number, since it uses less digits than its factorization.

10121124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10121124432 its reverse (23442112101), we get a palindrome (33563236533).

The spelling of 10121124432 in words is "ten billion, one hundred twenty-one million, one hundred twenty-four thousand, four hundred thirty-two".