12010411122840 has 384 divisors, whose sum is σ = 42782722819200. Its totient is φ = 2904224440320.

The previous prime is 12010411122797. The next prime is 12010411122847. The reversal of 12010411122840 is 4822111401021.

12010411122840 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 411 + 1 + 228 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010411122847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 91976316 + ... + 92106804.

It is an arithmetic number, because the mean of its divisors is an integer number (111413340675).

Almost surely, 2^{12010411122840} is an apocalyptic number.

12010411122840 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 12010411122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391361409600).

12010411122840 is an abundant number, since it is smaller than the sum of its proper divisors (30772311696360).

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

12010411122840 is a wasteful number, since it uses less digits than its factorization.

12010411122840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130867 (or 130860 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 12010411122840 its reverse (4822111401021), we get a palindrome (16832522523861).

The spelling of 12010411122840 in words is "twelve trillion, ten billion, four hundred eleven million, one hundred twenty-two thousand, eight hundred forty".