12111133020 has 144 divisors (see below), whose sum is σ = 39512759328. Its totient is φ = 2763694080.

The previous prime is 12111132959. The next prime is 12111133031. The reversal of 12111133020 is 2033111121.

It is a happy number.

12111133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1975560 + ... + 1981680.

It is an arithmetic number, because the mean of its divisors is an integer number (274394162).

Almost surely, 2^12111133020 is an apocalyptic number.

12111133020 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 12111133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756379664).

12111133020 is an abundant number, since it is smaller than the sum of its proper divisors (27401626308).

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

12111133020 is a wasteful number, since it uses less digits than its factorization.

12111133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12111133020 its reverse (2033111121), we get a palindrome (14144244141).

The spelling of 12111133020 in words is "twelve billion, one hundred eleven million, one hundred thirty-three thousand, twenty".