12111133102020 has 192 divisors, whose sum is σ = 39150081734400. Its totient is φ = 3104530974720.

The previous prime is 12111133101989. The next prime is 12111133102087. The reversal of 12111133102020 is 2020133111121.

12111133102020 is a `hidden beast` number, since 1 + 21 + 111 + 331 + 0 + 202 + 0 = 666.

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 = 12111133101984 and 12111133102002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1851340 + ... + 5258300.

It is an arithmetic number, because the mean of its divisors is an integer number (203906675700).

Almost surely, 2^{12111133102020} is an apocalyptic number.

12111133102020 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 12111133102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575040867200).

12111133102020 is an abundant number, since it is smaller than the sum of its proper divisors (27038948632380).

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

12111133102020 is a wasteful number, since it uses less digits than its factorization.

12111133102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407235 (or 3407227 counting only the distinct ones).

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

Adding to 12111133102020 its reverse (2020133111121), we get a palindrome (14131266213141).

The spelling of 12111133102020 in words is "twelve trillion, one hundred eleven billion, one hundred thirty-three million, one hundred two thousand, twenty".