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12011332310010 = 235511449357737
BaseRepresentation
bin1010111011001001101100…
…1100100001001111111010
31120112021100101211002200000
42232302123030201033322
53033243202032410020
641313532504453430
72346535004034135
oct256623314411772
946467311732600
1012011332310010
113910a82a55070
12141ba62a7a276
13691882418577
142d74cca7321c
1515c697c52090
hexaec9b3213fa

12011332310010 has 96 divisors (see below), whose sum is σ = 35330302792512. Its totient is φ = 2911838129280.

The previous prime is 12011332309969. The next prime is 12011332310053. The reversal of 12011332310010 is 1001323311021.

12011332310010 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 332 + 310 + 0 + 10 = 666.

It is a super-2 number, since 2×120113323100102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224652139 + ... + 224705598.

It is an arithmetic number, because the mean of its divisors is an integer number (368023987422).

Almost surely, 212011332310010 is an apocalyptic number.

12011332310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011332310010 is an abundant number, since it is smaller than the sum of its proper divisors (23318970482502).

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

12011332310010 is a wasteful number, since it uses less digits than its factorization.

12011332310010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449357770 (or 449357758 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12011332310010 its reverse (1001323311021), we get a palindrome (13012655621031).

The spelling of 12011332310010 in words is "twelve trillion, eleven billion, three hundred thirty-two million, three hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13365 26730 449357737 898715474 1348073211 2246788685 2696146422 4044219633 4493577370 4942935107 6740366055 8088439266 9885870214 12132658899 13480732110 14828805321 20221098165 24265317798 24714675535 29657610642 36397976697 40442196330 44486415963 49429351070 60663294495 72795953394 74144026605 88972831926 109193930091 121326588990 133459247889 148288053210 181989883485 218387860182 222432079815 266918495778 363979766970 400377743667 444864159630 545969650455 667296239445 800755487334 1091939300910 1201133231001 1334592478890 2001888718335 2402266462002 4003777436670 6005666155005 12011332310010