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12001211210010 = 23511371079185983
BaseRepresentation
bin1010111010100011111111…
…1011100101100100011010
31120111022020001011221120110
42232220333323211210122
53033111440032210020
641305140314305150
72346026126100021
oct256507773454432
946438201157513
1012001211210010
113907759947910
121419ab94281b6
1369092b60a5b9
142d6c0c7c98b8
1515c2a44228e0
hexaea3fee591a

12001211210010 has 128 divisors (see below), whose sum is σ = 32572176482304. Its totient is φ = 2804296584960.

The previous prime is 12001211209987. The next prime is 12001211210041. The reversal of 12001211210010 is 1001211210021.

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, 3286522 + ... + 5899461.

It is an arithmetic number, because the mean of its divisors is an integer number (254470128768).

Almost surely, 212001211210010 is an apocalyptic number.

12001211210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001211210010 is an abundant number, since it is smaller than the sum of its proper divisors (20570965272294).

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

12001211210010 is a wasteful number, since it uses less digits than its factorization.

12001211210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186148.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001211210010 its reverse (1001211210021), we get a palindrome (13002422420031).

It can be divided in two parts, 12001211 and 210010, that added together give a palindrome (12211221).

The spelling of 12001211210010 in words is "twelve trillion, one billion, two hundred eleven million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 107 110 111 165 185 214 222 321 330 370 407 535 555 642 814 1070 1110 1177 1221 1605 2035 2354 2442 3210 3531 3959 4070 5885 6105 7062 7918 11770 11877 12210 17655 19795 23754 35310 39590 43549 59385 87098 118770 130647 217745 261294 435490 653235 1306470 9185983 18371966 27557949 45929915 55115898 91859830 101045813 137789745 202091626 275579490 303137439 339881371 505229065 606274878 679762742 982900181 1010458130 1019644113 1515687195 1699406855 1965800362 2039288226 2948700543 3031374390 3398813710 3738695081 4914500905 5098220565 5897401086 7477390162 9829001810 10196441130 10811901991 11216085243 14743502715 18693475405 21623803982 22432170486 29487005430 32435705973 36367306697 37386950810 54059509955 56080426215 64871411946 72734613394 108119019910 109101920091 112160852430 162178529865 181836533485 218203840182 324357059730 363673066970 400040373667 545509600455 800080747334 1091019200910 1200121121001 2000201868335 2400242242002 4000403736670 6000605605005 12001211210010