Search a number
-
+
12012120201345 = 3511251431672953
BaseRepresentation
bin1010111011001100101000…
…1010000101100010000001
31120112100101022101010101120
42232303022022011202001
53033301310232420340
641314143012022453
72346563352016335
oct256631212054201
946470338333346
1012012120201345
113911347775530
121420042901a29
1369197971bb64
142d75655697c5
1515c6e1ed64d0
hexaecca285881

12012120201345 has 64 divisors (see below), whose sum is σ = 21099013705728. Its totient is φ = 5787387200000.

The previous prime is 12012120201331. The next prime is 12012120201379. The reversal of 12012120201345 is 54310202121021.

It is a happy number.

It is not a de Polignac number, because 12012120201345 - 24 = 12012120201329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17513389 + ... + 18186341.

It is an arithmetic number, because the mean of its divisors is an integer number (329672089152).

Almost surely, 212012120201345 is an apocalyptic number.

12012120201345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12012120201345 is a deficient number, since it is larger than the sum of its proper divisors (9086893504383).

12012120201345 is a wasteful number, since it uses less digits than its factorization.

12012120201345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673654.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12012120201345 its reverse (54310202121021), we get a palindrome (66322322322366).

The spelling of 12012120201345 in words is "twelve trillion, twelve billion, one hundred twenty million, two hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 251 431 753 1255 1293 2155 2761 3765 4741 6465 8283 13805 14223 23705 41415 71115 108181 324543 540905 672953 1189991 1622715 2018859 3364765 3569973 5949955 7402483 10094295 17849865 22207449 37012415 111037245 168911203 290042743 506733609 844556015 870128229 1450213715 1858023233 2533668045 3190470173 4350641145 5574069699 9290116165 9571410519 15952350865 27870348495 47857052595 72800728493 218402185479 364003642465 800808013423 1092010927395 2402424040269 4004040067115 12012120201345