12011100021120 has 256 divisors, whose sum is σ = 40582256601600. Its totient is φ = 3011219521536.

The previous prime is 12011100021119. The next prime is 12011100021139. The reversal of 12011100021120 is 2112000111021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12011100021096 and 12011100021105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29401621 + ... + 29807339.

It is an arithmetic number, because the mean of its divisors is an integer number (158524439850).

Almost surely, 2^{12011100021120} is an apocalyptic number.

12011100021120 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 12011100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291128300800).

12011100021120 is an abundant number, since it is smaller than the sum of its proper divisors (28571156580480).

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

12011100021120 is a wasteful number, since it uses less digits than its factorization.

12011100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406665 (or 406653 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011100021120 its reverse (2112000111021), we get a palindrome (14123100132141).

The spelling of 12011100021120 in words is "twelve trillion, eleven billion, one hundred million, twenty-one thousand, one hundred twenty".