11432240120 has 64 divisors (see below), whose sum is σ = 29479334400. Its totient is φ = 3908672640.

The previous prime is 11432240111. The next prime is 11432240143. The reversal of 11432240120 is 2104223411.

11432240120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11432240120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11432240092 and 11432240101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43655 + ... + 157385.

It is an arithmetic number, because the mean of its divisors is an integer number (460614600).

Almost surely, 2^11432240120 is an apocalyptic number.

11432240120 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 11432240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739667200).

11432240120 is an abundant number, since it is smaller than the sum of its proper divisors (18047094280).

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

11432240120 is a wasteful number, since it uses less digits than its factorization.

11432240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114108 (or 114104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11432240120 its reverse (2104223411), we get a palindrome (13536463531).

The spelling of 11432240120 in words is "eleven billion, four hundred thirty-two million, two hundred forty thousand, one hundred twenty".