Search a number
-
+
12002123232132 = 22311219763956951
BaseRepresentation
bin1010111010100111011001…
…0010101011001110000100
31120111101120121022110201120
42232221312102223032010
53033120322021412012
641305411014153540
72346060542126445
oct256516622531604
946441517273646
1012002123232132
113908087740600
12141a1129528b0
13690a45553067
142d6c979952cc
1515c30952658c
hexaea764ab384

12002123232132 has 144 divisors (see below), whose sum is σ = 32407237094400. Its totient is φ = 3445074072000.

The previous prime is 12002123232101. The next prime is 12002123232157. The reversal of 12002123232132 is 23123232120021.

12002123232132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 210716257 + ... + 210773207.

It is an arithmetic number, because the mean of its divisors is an integer number (225050257600).

Almost surely, 212002123232132 is an apocalyptic number.

12002123232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002123232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203618547200).

12002123232132 is an abundant number, since it is smaller than the sum of its proper divisors (20405113862268).

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

12002123232132 is a wasteful number, since it uses less digits than its factorization.

12002123232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64638 (or 64625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12002123232132 its reverse (23123232120021), we get a palindrome (35125355352153).

It can be divided in two parts, 1200212 and 3232132, that added together give a palindrome (4432344).

The spelling of 12002123232132 in words is "twelve trillion, two billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 1254 1452 2299 2508 4598 6897 7639 9196 13794 15278 22917 27588 30556 45834 56951 84029 91668 113902 145141 168058 170853 227804 252087 290282 336116 341706 435423 504174 580564 626461 683412 870846 924319 1008348 1082069 1252922 1596551 1741692 1848638 1879383 2164138 2505844 2772957 3193102 3246207 3697276 3758766 4328276 4789653 5545914 6386204 6492414 6891071 7517532 9579306 11091828 11902759 12984828 13782142 17562061 19158612 20673213 23805518 27564284 35124122 35708277 41346426 47611036 52686183 70248244 71416554 82692852 105372366 130930349 142833108 210744732 261860698 392791047 435048689 523721396 785582094 870097378 1305146067 1571164188 1740194756 2610292134 4785535579 5220584268 8265925091 9571071158 14356606737 16531850182 19142142316 24797775273 28713213474 33063700364 49595550546 52640891369 57426426948 90925176001 99191101092 105281782738 157922674107 181850352002 210563565476 272775528003 315845348214 363700704004 545551056006 631690696428 1000176936011 1091102112012 2000353872022 3000530808033 4000707744044 6001061616066 12002123232132