Search a number
-
+
12012100023330 = 23251112919939193
BaseRepresentation
bin1010111011001100100011…
…1101000111010000100010
31120112100022220101222100200
42232303020331013100202
53033301240101221310
641314141011330030
72346563015346321
oct256631075072042
946470286358320
1012012100023330
113911337343490
121420037bb0916
136919754a56c4
142d75629d60b8
1515c6e034c9c0
hexaecc8f47422

12012100023330 has 96 divisors (see below), whose sum is σ = 34073357235840. Its totient is φ = 2911795741440.

The previous prime is 12012100023317. The next prime is 12012100023373. The reversal of 12012100023330 is 3332000121021.

12012100023330 is a `hidden beast` number, since 120 + 1 + 210 + 0 + 0 + 2 + 3 + 330 = 666.

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, 12320214 + ... + 13259406.

It is an arithmetic number, because the mean of its divisors is an integer number (354930804540).

Almost surely, 212012100023330 is an apocalyptic number.

12012100023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012100023330 is an abundant number, since it is smaller than the sum of its proper divisors (22061257212510).

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

12012100023330 is a wasteful number, since it uses less digits than its factorization.

12012100023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952136 (or 952133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12012100023330 its reverse (3332000121021), we get a palindrome (15344100144351).

The spelling of 12012100023330 in words is "twelve trillion, twelve billion, one hundred million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 12919 25838 38757 64595 77514 116271 129190 142109 193785 232542 284218 387570 426327 581355 710545 852654 939193 1162710 1278981 1421090 1878386 2131635 2557962 2817579 4263270 4695965 5635158 6394905 8452737 9391930 10331123 12789810 14087895 16905474 20662246 28175790 30993369 42263685 51655615 61986738 84527370 92980107 103311230 154966845 185960214 309933690 464900535 929801070 12133434367 24266868734 36400303101 60667171835 72800606202 109200909303 121334343670 133467778037 182001515505 218401818606 266935556074 364003031010 400403334111 546004546515 667338890185 800806668222 1092009093030 1201210002333 1334677780370 2002016670555 2402420004666 4004033341110 6006050011665 12012100023330