12011021111120 has 20 divisors (see below), whose sum is σ = 27925624083540. Its totient is φ = 4804408444416.

The previous prime is 12011021111107. The next prime is 12011021111189. The reversal of 12011021111120 is 2111112011021.

It can be written as a sum of positive squares in 2 ways, for example, as 9020916138256 + 2990104972864 = 3003484^2 + 1729192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12011021111095 and 12011021111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75068881865 + ... + 75068882024.

It is an arithmetic number, because the mean of its divisors is an integer number (1396281204177).

Almost surely, 2^{12011021111120} is an apocalyptic number.

12011021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011021111120 is an abundant number, since it is smaller than the sum of its proper divisors (15914602972420).

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

12011021111120 is a wasteful number, since it uses less digits than its factorization.

12011021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150137763902 (or 150137763896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12011021111120 its reverse (2111112011021), we get a palindrome (14122133122141).

The spelling of 12011021111120 in words is "twelve trillion, eleven billion, twenty-one million, one hundred eleven thousand, one hundred twenty".