Search a number
-
+
12002203211112 = 2333192986397931
BaseRepresentation
bin1010111010100111101100…
…0011110001010101101000
31120111101210011210211021000
42232221323003301111220
53033121003010223422
641305422552315000
72346062533004352
oct256517303612550
946441704724230
1012002203211112
1139081188a7a34
12141a1356a2a60
13690a58ca69ba
142d6ca44540d2
1515c311573cac
hexaea7b0f1568

12002203211112 has 128 divisors (see below), whose sum is σ = 35095694976000. Its totient is φ = 3790003815360.

The previous prime is 12002203211111. The next prime is 12002203211179. The reversal of 12002203211112 is 21111230220021.

12002203211112 is a `hidden beast` number, since 12 + 0 + 0 + 220 + 321 + 1 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12002203211111) 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 31 ways as a sum of consecutive naturals, for example, 122508787 + ... + 122606717.

It is an arithmetic number, because the mean of its divisors is an integer number (274185117000).

Almost surely, 212002203211112 is an apocalyptic number.

12002203211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002203211112 is an abundant number, since it is smaller than the sum of its proper divisors (23093491764888).

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

12002203211112 is a wasteful number, since it uses less digits than its factorization.

12002203211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127828 (or 127818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12002203211112 its reverse (21111230220021), we get a palindrome (33113433431133).

The spelling of 12002203211112 in words is "twelve trillion, two billion, two hundred three million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 29863 59726 89589 97931 119452 179178 195862 238904 268767 293793 358356 391724 537534 567397 587586 716712 783448 806301 881379 1075068 1134794 1175172 1612602 1702191 1762758 1860689 2150136 2269588 2350344 2644137 3225204 3404382 3525516 3721378 4539176 5106573 5288274 5582067 6450408 6808764 7051032 7442756 10213146 10576548 11164134 13617528 14885512 15319719 16746201 20426292 21153096 22328268 30639438 33492402 40852584 44656536 50238603 61278876 66984804 100477206 122557752 133969608 200954412 401908824 2924513453 5849026906 8773540359 11698053812 17547080718 23396107624 26320621077 35094161436 52641242154 55565755607 70188322872 78961863231 105282484308 111131511214 157923726462 166697266821 210564968616 222263022428 315847452924 333394533642 444526044856 500091800463 631694905848 666789067284 1000183600926 1333578134568 1500275401389 2000367201852 3000550802778 4000734403704 6001101605556 12002203211112