12011113003120 has 480 divisors, whose sum is σ = 36304529361408. Its totient is φ = 3614637312000.

The previous prime is 12011113003093. The next prime is 12011113003129. The reversal of 12011113003120 is 2130031111021.

It is a happy number.

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 = 12011113003094 and 12011113003103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011113003129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328414435 + ... + 328451005.

Almost surely, 2^{12011113003120} is an apocalyptic number.

12011113003120 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 12011113003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152264680704).

12011113003120 is an abundant number, since it is smaller than the sum of its proper divisors (24293416358288).

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

12011113003120 is a wasteful number, since it uses less digits than its factorization.

12011113003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36781 (or 36764 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12011113003120 its reverse (2130031111021), we get a palindrome (14141144114141).

The spelling of 12011113003120 in words is "twelve trillion, eleven billion, one hundred thirteen million, three thousand, one hundred twenty".