11132401120 has 48 divisors (see below), whose sum is σ = 27443797920. Its totient is φ = 4259352064.

The previous prime is 11132401109. The next prime is 11132401121. The reversal of 11132401120 is 2110423111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11132401094 and 11132401103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132401121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1508875 + ... + 1516234.

It is an arithmetic number, because the mean of its divisors is an integer number (571745790).

Almost surely, 2^11132401120 is an apocalyptic number.

11132401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132401120 is an abundant number, since it is smaller than the sum of its proper divisors (16311396800).

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

11132401120 is a wasteful number, since it uses less digits than its factorization.

11132401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025147 (or 3025139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11132401120 its reverse (2110423111), we get a palindrome (13242824231).

The spelling of 11132401120 in words is "eleven billion, one hundred thirty-two million, four hundred one thousand, one hundred twenty".