12011015520 has 288 divisors, whose sum is σ = 46955039040. Its totient is φ = 2738810880.

The previous prime is 12011015501. The next prime is 12011015537. The reversal of 12011015520 is 2551011021.

12011015520 is a `hidden beast` number, since 1 + 2 + 0 + 110 + 1 + 552 + 0 = 666.

12011015520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 12011015493 and 12011015502.

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 47 ways as a sum of consecutive naturals, for example, 5129550 + ... + 5131890.

It is an arithmetic number, because the mean of its divisors is an integer number (163038330).

Almost surely, 2^12011015520 is an apocalyptic number.

12011015520 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 12011015520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23477519520).

12011015520 is an abundant number, since it is smaller than the sum of its proper divisors (34944023520).

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

12011015520 is a wasteful number, since it uses less digits than its factorization.

12011015520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 12011015520 its reverse (2551011021), we get a palindrome (14562026541).

The spelling of 12011015520 in words is "twelve billion, eleven million, fifteen thousand, five hundred twenty".