12105135432 has 96 divisors (see below), whose sum is σ = 35332085880. Its totient is φ = 3721973760.

The previous prime is 12105135401. The next prime is 12105135457. The reversal of 12105135432 is 23453150121.

12105135432 is a `hidden beast` number, since 1 + 2 + 105 + 13 + 543 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12041550756 + 63584676 = 109734^2 + 7974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12105135396 and 12105135405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584582 + ... + 1592202.

Almost surely, 2^12105135432 is an apocalyptic number.

12105135432 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 12105135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666042940).

12105135432 is an abundant number, since it is smaller than the sum of its proper divisors (23226950448).

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

12105135432 is a wasteful number, since it uses less digits than its factorization.

12105135432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12105135432 its reverse (23453150121), we get a palindrome (35558285553).

The spelling of 12105135432 in words is "twelve billion, one hundred five million, one hundred thirty-five thousand, four hundred thirty-two".