11432112120 has 512 divisors, whose sum is σ = 45384192000. Its totient is φ = 2523156480.

The previous prime is 11432112047. The next prime is 11432112143. The reversal of 11432112120 is 2121123411.

11432112120 is a `hidden beast` number, since 1 + 1 + 432 + 112 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11432112093 and 11432112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12200292 + ... + 12201228.

It is an arithmetic number, because the mean of its divisors is an integer number (88641000).

Almost surely, 2^11432112120 is an apocalyptic number.

11432112120 is a gapful number since it is divisible by the number (10) 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 11432112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692096000).

11432112120 is an abundant number, since it is smaller than the sum of its proper divisors (33952079880).

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

11432112120 is a wasteful number, since it uses less digits than its factorization.

11432112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11432112120 its reverse (2121123411), we get a palindrome (13553235531).

The spelling of 11432112120 in words is "eleven billion, four hundred thirty-two million, one hundred twelve thousand, one hundred twenty".