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12012211111110 = 2357432579515803
BaseRepresentation
bin1010111011001100111110…
…0100111000010011000110
31120112100121122102211010220
42232303033210320103012
53033302002021023420
641314200020325210
72346565534521360
oct256631744702306
946470548384126
1012012211111110
113911394018371
121420069243806
136919924cbc12
142d7573671d30
1515c6e9e92840
hexaeccf9384c6

12012211111110 has 128 divisors (see below), whose sum is σ = 33727144366080. Its totient is φ = 2680750912896.

The previous prime is 12012211111073. The next prime is 12012211111127. The reversal of 12012211111110 is 1111111221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012211111110.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23030469 + ... + 23546271.

It is an arithmetic number, because the mean of its divisors is an integer number (263493315360).

Almost surely, 212012211111110 is an apocalyptic number.

12012211111110 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 12012211111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863572183040).

12012211111110 is an abundant number, since it is smaller than the sum of its proper divisors (21714933254970).

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

12012211111110 is a wasteful number, since it uses less digits than its factorization.

12012211111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518442.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12012211111110 its reverse (1111111221021), we get a palindrome (13123322332131).

The spelling of 12012211111110 in words is "twelve trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 2579 3010 4515 5158 7737 9030 12895 15474 18053 25790 36106 38685 54159 77370 90265 108318 110897 180530 221794 270795 332691 515803 541590 554485 665382 776279 1031606 1108970 1547409 1552558 1663455 2328837 2579015 3094818 3326910 3610621 3881395 4657674 5158030 7221242 7737045 7762790 10831863 11644185 15474090 18053105 21663726 22179529 23288370 36106210 44359058 54159315 66538587 108318630 110897645 133077174 155256703 221795290 310513406 332692935 465770109 665385870 776283515 931540218 1330255937 1552567030 2328850545 2660511874 3990767811 4657701090 6651279685 7981535622 9311791559 13302559370 18623583118 19953839055 27935374677 39907678110 46558957795 55870749354 57201005291 93117915590 114402010582 139676873385 171603015873 279353746770 286005026455 343206031746 400407037037 572010052910 800814074074 858015079365 1201221111111 1716030158730 2002035185185 2402442222222 4004070370370 6006105555555 12012211111110