Search a number
-
+
12103110222112 = 2571343421722921
BaseRepresentation
bin1011000000011111100110…
…0101011110000100100000
31120212001020120011002200201
42300013321211132010200
53041244132204101422
641424031515554544
72356264232311660
oct260077145360440
946761216132621
1012103110222112
11394699a2138a8
1214357b715ba54
1369a41a696030
142dbb17b381a0
1515ec6a222727
hexb01f995e120

12103110222112 has 192 divisors, whose sum is σ = 30017210598144. Its totient is φ = 4675380756480.

The previous prime is 12103110222109. The next prime is 12103110222127. The reversal of 12103110222112 is 21122201130121.

It is a self number, because there is not a number n which added to its sum of digits gives 12103110222112.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 528024412 + ... + 528047332.

It is an arithmetic number, because the mean of its divisors is an integer number (156339638532).

Almost surely, 212103110222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103110222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008605299072).

12103110222112 is an abundant number, since it is smaller than the sum of its proper divisors (17914100376032).

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

12103110222112 is a wasteful number, since it uses less digits than its factorization.

12103110222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211 (or 27203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12103110222112 its reverse (21122201130121), we get a palindrome (33225311352233).

The spelling of 12103110222112 in words is "twelve trillion, one hundred three billion, one hundred ten million, two hundred twenty-two thousand, one hundred twelve".