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12010000111011 = 3277131156915173
BaseRepresentation
bin1010111011000100101111…
…0010100101010110100011
31120112010220120001101012100
42232301023302211112203
53033232440012023021
641313152355101443
72346456666366060
oct256611362452643
946463816041170
1012010000111011
113910459a65261
12141b7508a1883
136916cc418736
142d7403b6dc67
1515c61ad01626
hexaec4bca55a3

12010000111011 has 96 divisors (see below), whose sum is σ = 20206698670080. Its totient is φ = 6732144115200.

The previous prime is 12010000110961. The next prime is 12010000111049. The reversal of 12010000111011 is 11011100001021.

It is not a de Polignac number, because 12010000111011 - 227 = 12009865893283 is a prime.

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 = 12010000110984 and 12010000111002.

It is not an unprimeable number, because it can be changed into a prime (12010008111011) 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 95 ways as a sum of consecutive naturals, for example, 791530021 + ... + 791545193.

It is an arithmetic number, because the mean of its divisors is an integer number (210486444480).

Almost surely, 212010000111011 is an apocalyptic number.

12010000111011 is a deficient number, since it is larger than the sum of its proper divisors (8196698559069).

12010000111011 is a wasteful number, since it uses less digits than its factorization.

12010000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137 (or 16134 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12010000111011 its reverse (11011100001021), we get a palindrome (23021100112032).

The spelling of 12010000111011 in words is "twelve trillion, ten billion, one hundred eleven thousand, eleven".

Divisors: 1 3 7 9 21 63 71 213 311 497 569 639 933 1491 1707 2177 2799 3983 4473 5121 6531 11949 15173 19593 22081 35847 40399 45519 66243 106211 121197 136557 154567 176959 198729 282793 318633 363591 463701 530877 848379 955899 1077283 1238713 1391103 1592631 2545137 3231849 3716139 4718803 7540981 8633437 9695547 11148417 12564089 14156409 22622943 25900311 33031621 37692267 42469227 60434059 67868829 77700933 87948623 99094863 113076801 181302177 263845869 297284589 335035013 543906531 612974027 791537607 1005105039 1838922081 2345245091 2684998907 3015315117 4290818189 5516766243 7035735273 8054996721 12872454567 18794992349 21107205819 24164990163 38617363701 56384977047 169154931141 190634922397 571904767191 1334444456779 1715714301573 4003333370337 12010000111011