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12118881120 = 25351710314419
BaseRepresentation
bin10110100100101011…
…10111001101100000
31011021120210221120220
423102111313031200
5144304413143440
65322313403040
7606213534633
oct132225671540
934246727526
1012118881120
115159879835
122422709480
1311b1989398
1482d725c1a
154ade048d0
hex2d2577360

12118881120 has 192 divisors, whose sum is σ = 40815290880. Its totient is φ = 3011862528.

The previous prime is 12118881113. The next prime is 12118881121. The reversal of 12118881120 is 2118881121.

12118881120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118881121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833271 + ... + 847689.

It is an arithmetic number, because the mean of its divisors is an integer number (212579640).

Almost surely, 212118881120 is an apocalyptic number.

12118881120 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 12118881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407645440).

12118881120 is an abundant number, since it is smaller than the sum of its proper divisors (28696409760).

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

12118881120 is a wasteful number, since it uses less digits than its factorization.

12118881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 33.

Subtracting from 12118881120 its reverse (2118881121), we obtain a palindrome (9999999999).

The spelling of 12118881120 in words is "twelve billion, one hundred eighteen million, eight hundred eighty-one thousand, one hundred twenty".