12011021120 has 336 divisors, whose sum is σ = 34477909200. Its totient is φ = 3971874816.

The previous prime is 12011021059. The next prime is 12011021137. The reversal of 12011021120 is 2112011021.

It can be written as a sum of positive squares in 8 ways, for example, as 474542656 + 11536478464 = 21784^2 + 107408^2 .

It is a congruent number.

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, 80610806 + ... + 80610954.

It is an arithmetic number, because the mean of its divisors is an integer number (102612825).

Almost surely, 2^12011021120 is an apocalyptic number.

12011021120 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 12011021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238954600).

12011021120 is an abundant number, since it is smaller than the sum of its proper divisors (22466888080).

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

12011021120 is a wasteful number, since it uses less digits than its factorization.

12011021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011021120 its reverse (2112011021), we get a palindrome (14123032141).

The spelling of 12011021120 in words is "twelve billion, eleven million, twenty-one thousand, one hundred twenty".