Search a number
-
+
12002310121123 = 7171735503105943
BaseRepresentation
bin1010111010101000000101…
…1011100110011010100011
31120111102001121222102020001
42232222001123212122203
53033121212342333443
641305441332000431
72346065301506350
oct256520133463243
946442047872201
1012002310121123
113908173189013
12141a165460117
13690a7519976a
142d6cb4723627
1515c31ab40d4d
hexaea816e66a3

12002310121123 has 32 divisors (see below), whose sum is σ = 14610548883456. Its totient is φ = 9624727300608.

The previous prime is 12002310121121. The next prime is 12002310121159. The reversal of 12002310121123 is 32112101320021.

12002310121123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002310121123 - 21 = 12002310121121 is a prime.

It is a super-2 number, since 2×120023101211232 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12002310121123.

It is not an unprimeable number, because it can be changed into a prime (12002310121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113237290 + ... + 113343232.

It is an arithmetic number, because the mean of its divisors is an integer number (456579652608).

Almost surely, 212002310121123 is an apocalyptic number.

12002310121123 is a deficient number, since it is larger than the sum of its proper divisors (2608238762333).

12002310121123 is a wasteful number, since it uses less digits than its factorization.

12002310121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111643.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12002310121123 its reverse (32112101320021), we get a palindrome (44114411441144).

The spelling of 12002310121123 in words is "twelve trillion, two billion, three hundred ten million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 7 17 119 173 1211 2941 5503 20587 38521 93551 105943 654857 741601 952019 1801031 6664133 12607217 16184323 18328139 113290261 128296973 311578363 583004329 2181048541 4081030303 9911073593 69377515151 100859748917 706018242419 1714615731589 12002310121123