11323005120 has 224 divisors, whose sum is σ = 45651724800. Its totient is φ = 2588101632.

The previous prime is 11323005101. The next prime is 11323005121. The reversal of 11323005120 is 2150032311.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 11323005093 and 11323005102.

It is not an unprimeable number, because it can be changed into a prime (11323005121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33130 + ... + 154089.

Almost surely, 2^11323005120 is an apocalyptic number.

11323005120 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 11323005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825862400).

11323005120 is an abundant number, since it is smaller than the sum of its proper divisors (34328719680).

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

11323005120 is a wasteful number, since it uses less digits than its factorization.

11323005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187252 (or 187236 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11323005120 its reverse (2150032311), we get a palindrome (13473037431).

The spelling of 11323005120 in words is "eleven billion, three hundred twenty-three million, five thousand, one hundred twenty".