Search a number
-
+
12002112210 = 23511231106657
BaseRepresentation
bin10110010110110000…
…11011001011010010
31010222110002110202110
423023120123023102
5144040020042320
65302542530150
7603265161534
oct131330331322
933873073673
1012002112210
1150a9974600
1223ab596956
13119372405a
1481c00b854
154a3a3b5e0
hex2cb61b2d2

12002112210 has 96 divisors (see below), whose sum is σ = 32683424256. Its totient is φ = 2815718400.

The previous prime is 12002112203. The next prime is 12002112247. The reversal of 12002112210 is 1221120021.

12002112210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59202 + ... + 165858.

It is an arithmetic number, because the mean of its divisors is an integer number (340452336).

Almost surely, 212002112210 is an apocalyptic number.

12002112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341712128).

12002112210 is an abundant number, since it is smaller than the sum of its proper divisors (20681312046).

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

12002112210 is a wasteful number, since it uses less digits than its factorization.

12002112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106720 (or 106709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002112210 its reverse (1221120021), we get a palindrome (13223232231).

It can be divided in two parts, 120021 and 12210, that added together give a palindrome (132231).

The spelling of 12002112210 in words is "twelve billion, two million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 5115 7502 10230 11253 18755 22506 37510 56265 106657 112530 213314 319971 533285 639942 1066570 1173227 1599855 2346454 3199710 3306367 3519681 5866135 6612734 7039362 9919101 11732270 12905497 16531835 17598405 19838202 25810994 33063670 35196810 36370037 38716491 49595505 64527485 72740074 77432982 99191010 109110111 129054970 181850185 193582455 218220222 363700370 387164910 400070407 545550555 800140814 1091101110 1200211221 2000352035 2400422442 4000704070 6001056105 12002112210