11132112432 has 120 divisors (see below), whose sum is σ = 34165241856. Its totient is φ = 3112900224.

The previous prime is 11132112419. The next prime is 11132112437. The reversal of 11132112432 is 23421123111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11132112399 and 11132112408.

It is not an unprimeable number, because it can be changed into a prime (11132112437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60193 + ... + 160895.

Almost surely, 2^11132112432 is an apocalyptic number.

11132112432 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 11132112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082620928).

11132112432 is an abundant number, since it is smaller than the sum of its proper divisors (23033129424).

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

11132112432 is a wasteful number, since it uses less digits than its factorization.

11132112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100775 (or 100762 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 11132112432 its reverse (23421123111), we get a palindrome (34553235543).

It can be divided in two parts, 111321 and 12432, that added together give a triangular number (123753 = T₄₉₇).

The spelling of 11132112432 in words is "eleven billion, one hundred thirty-two million, one hundred twelve thousand, four hundred thirty-two".