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12012211221210 = 2325372113862777
BaseRepresentation
bin1010111011001100111110…
…0101010011001011011010
31120112100121122122102011200
42232303033211103023122
53033302002033034320
641314200022535030
72346565535460354
oct256631745231332
946470548572150
1012012211221210
113911394093062
121420069297476
1369199253a075
142d75736a00d4
1515c6e9eb5290
hexaeccf9532da

12012211221210 has 144 divisors (see below), whose sum is σ = 32382760560696. Its totient is φ = 3089096994816.

The previous prime is 12012211221193. The next prime is 12012211221217. The reversal of 12012211221210 is 1212211221021.

12012211221210 is a `hidden beast` number, since 1 + 20 + 1 + 2 + 211 + 221 + 210 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2439678430809 + 9572532790401 = 1561947^2 + 3093951^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12012211221217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13491342 + ... + 14354118.

Almost surely, 212012211221210 is an apocalyptic number.

12012211221210 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 12012211221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191380280348).

12012211221210 is an abundant number, since it is smaller than the sum of its proper divisors (20370549339486).

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

12012211221210 is a wasteful number, since it uses less digits than its factorization.

12012211221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862977 (or 862937 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012211221210 its reverse (1212211221021), we get a palindrome (13224422442231).

The spelling of 12012211221210 in words is "twelve trillion, twelve billion, two hundred eleven million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 113 185 222 226 333 339 370 555 565 666 678 1017 1110 1130 1369 1665 1695 2034 2738 3330 3390 4107 4181 5085 6845 8214 8362 10170 12321 12543 13690 20535 20905 24642 25086 37629 41070 41810 61605 62715 75258 123210 125430 154697 188145 309394 376290 464091 773485 862777 928182 1392273 1546970 1725554 2320455 2588331 2784546 4313885 4640910 5176662 6961365 7764993 8627770 12941655 13922730 15529986 25883310 31922749 38824965 63845498 77649930 95768247 97493801 159613745 191536494 194987602 287304741 292481403 319227490 478841235 487469005 574609482 584962806 877444209 957682470 974938010 1181141713 1436523705 1462407015 1754888418 2362283426 2873047410 2924814030 3543425139 3607270637 4387221045 5905708565 7086850278 7214541274 8774442090 10630275417 10821811911 11811417130 17717125695 18036353185 21260550834 21643623822 32465435733 35434251390 36072706370 53151377085 54109059555 64930871466 106302754170 108218119110 133469013569 162327178665 266938027138 324654357330 400407040707 667345067845 800814081414 1201221122121 1334690135690 2002035203535 2402442244242 4004070407070 6006105610605 12012211221210