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12001100210010 = 23253722316161139
BaseRepresentation
bin1010111010100011100101…
…0100001001111101011010
31120111021221022022120012100
42232220321110021331122
53033111223123210020
641305121311224230
72346023310441612
oct256507124117532
946437838276170
1012001100210010
11390770222297a
121419a88218076
13690911615022
142d6bdbb73a42
1515c2997e8a90
hexaea39509f5a

12001100210010 has 96 divisors (see below), whose sum is σ = 32189887941120. Its totient is φ = 3099835557504.

The previous prime is 12001100209993. The next prime is 12001100210017. The reversal of 12001100210010 is 1001200110021.

It is a happy number.

It is a super-2 number, since 2×120011002100102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001100209974 and 12001100210001.

It is not an unprimeable number, because it can be changed into a prime (12001100210017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7337980 + ... + 8823159.

It is an arithmetic number, because the mean of its divisors is an integer number (335311332720).

Almost surely, 212001100210010 is an apocalyptic number.

12001100210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001100210010 is an abundant number, since it is smaller than the sum of its proper divisors (20188787731110).

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

12001100210010 is a wasteful number, since it uses less digits than its factorization.

12001100210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16161412 (or 16161409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001100210010 its reverse (1001200110021), we get a palindrome (13002300320031).

The spelling of 12001100210010 in words is "twelve trillion, one billion, one hundred million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 223 333 370 446 555 666 669 1110 1115 1338 1665 2007 2230 3330 3345 4014 6690 8251 10035 16502 20070 24753 41255 49506 74259 82510 123765 148518 247530 371295 742590 16161139 32322278 48483417 80805695 96966834 145450251 161611390 242417085 290900502 484834170 597962143 727251255 1195924286 1454502510 1793886429 2989810715 3587772858 3603933997 5381659287 5979621430 7207867994 8969432145 10763318574 10811801991 17938864290 18019669985 21623603982 26908296435 32435405973 36039339970 53816592870 54059009955 64870811946 108118019910 133345557889 162177029865 266691115778 324354059730 400036673667 666727789445 800073347334 1200110021001 1333455578890 2000183368335 2400220042002 4000366736670 6000550105005 12001100210010