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12001120011210 = 23511219317130019
BaseRepresentation
bin1010111010100011101001…
…1111101100001111001010
31120111021222200120120100010
42232220322133230033022
53033111243210324320
641305123255452350
72346023640652221
oct256507237541712
946437880516303
1012001120011210
113907712417900
121419a929870b6
13690915758b05
142d6c00649cb8
1515c29b40aae0
hexaea3a7ec3ca

12001120011210 has 96 divisors (see below), whose sum is σ = 31823191874880. Its totient is φ = 2894287841280.

The previous prime is 12001120011187. The next prime is 12001120011211. The reversal of 12001120011210 is 1211002110021.

It is a super-2 number, since 2×120011200112102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001120011211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7864420 + ... + 9265599.

It is an arithmetic number, because the mean of its divisors is an integer number (331491582030).

Almost surely, 212001120011210 is an apocalyptic number.

12001120011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001120011210 is an abundant number, since it is smaller than the sum of its proper divisors (19822071863670).

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

12001120011210 is a wasteful number, since it uses less digits than its factorization.

12001120011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17130244 (or 17130233 counting only the distinct ones).

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

Adding to 12001120011210 its reverse (1211002110021), we get a palindrome (13212122121231).

The spelling of 12001120011210 in words is "twelve trillion, one billion, one hundred twenty million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 193 242 330 363 386 579 605 726 965 1158 1210 1815 1930 2123 2895 3630 4246 5790 6369 10615 12738 21230 23353 31845 46706 63690 70059 116765 140118 233530 350295 700590 17130019 34260038 51390057 85650095 102780114 171300190 188430209 256950285 376860418 513900570 565290627 942151045 1130581254 1884302090 2072732299 2826453135 3306093667 4145464598 5652906270 6218196897 6612187334 9918281001 10363661495 12436393794 16530468335 19836562002 20727322990 31090984485 33060936670 36367030337 49591405005 62181968970 72734060674 99182810010 109101091011 181835151685 218202182022 363670303370 400037333707 545505455055 800074667414 1091010910110 1200112001121 2000186668535 2400224002242 4000373337070 6000560005605 12001120011210