10232121333432 has 128 divisors (see below), whose sum is σ = 27086856192000. Its totient is φ = 3214387862400.

The previous prime is 10232121333251. The next prime is 10232121333433. The reversal of 10232121333432 is 23433312123201.

It is a self number, because there is not a number n which added to its sum of digits gives 10232121333432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232121333433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20643307 + ... + 21133157.

It is an arithmetic number, because the mean of its divisors is an integer number (211616064000).

Almost surely, 2^{10232121333432} is an apocalyptic number.

10232121333432 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 10232121333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543428096000).

10232121333432 is an abundant number, since it is smaller than the sum of its proper divisors (16854734858568).

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

10232121333432 is a wasteful number, since it uses less digits than its factorization.

10232121333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490441 (or 490437 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 10232121333432 its reverse (23433312123201), we get a palindrome (33665433456633).

The spelling of 10232121333432 in words is "ten trillion, two hundred thirty-two billion, one hundred twenty-one million, three hundred thirty-three thousand, four hundred thirty-two".