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12110411441142 = 23279715723926407
BaseRepresentation
bin1011000000111010110011…
…0001011010001111110110
31120212202002101200110022100
42300032230301122033312
53041404110312104032
641431240214242530
72356643166535560
oct260165461321766
946782071613270
1012110411441142
113949aa65a4813
1214370b4356446
1369b012205891
142dc20b6a4330
151600461db97c
hexb03acc5a3f6

12110411441142 has 192 divisors, whose sum is σ = 30618542223360. Its totient is φ = 3388269201408.

The previous prime is 12110411441119. The next prime is 12110411441159. The reversal of 12110411441142 is 24114411401121.

It is a happy number.

12110411441142 is a `hidden beast` number, since 1 + 211 + 0 + 4 + 1 + 1 + 441 + 1 + 4 + 2 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 458592903 + ... + 458619309.

It is an arithmetic number, because the mean of its divisors is an integer number (159471574080).

Almost surely, 212110411441142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110411441142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309271111680).

12110411441142 is an abundant number, since it is smaller than the sum of its proper divisors (18508130782218).

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

12110411441142 is a wasteful number, since it uses less digits than its factorization.

12110411441142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26915 (or 26912 counting only the distinct ones).

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

Adding to 12110411441142 its reverse (24114411401121), we get a palindrome (36224822842263).

The spelling of 12110411441142 in words is "twelve trillion, one hundred ten billion, four hundred eleven million, four hundred forty-one thousand, one hundred forty-two".