12011311120032 has 288 divisors, whose sum is σ = 40757516755200. Its totient is φ = 3431394441216.

The previous prime is 12011311120009. The next prime is 12011311120057. The reversal of 12011311120032 is 23002111311021.

12011311120032 is a `hidden beast` number, since 1 + 201 + 1 + 311 + 120 + 0 + 32 = 666.

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 = 12011311119987 and 12011311120014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659120073 + ... + 659138295.

It is an arithmetic number, because the mean of its divisors is an integer number (141519155400).

Almost surely, 2^{12011311120032} is an apocalyptic number.

12011311120032 is a gapful number since it is divisible by the number (12) 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 12011311120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378758377600).

12011311120032 is an abundant number, since it is smaller than the sum of its proper divisors (28746205635168).

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

12011311120032 is a wasteful number, since it uses less digits than its factorization.

12011311120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33825 (or 33804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011311120032 its reverse (23002111311021), we get a palindrome (35013422431053).

The spelling of 12011311120032 in words is "twelve trillion, eleven billion, three hundred eleven million, one hundred twenty thousand, thirty-two".