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12112133313330 = 2325523373968821
BaseRepresentation
bin1011000001000001001101…
…1001110101001100110010
31120212220112101200121220100
42300100103121311030302
53041421122112011310
641432123124053230
72360033645315241
oct260202331651462
946786471617810
1012112133313330
11394a7aa546886
1214374b4b34216
1369b227b6c76b
142dc332240958
151600e7460ec0
hexb0413675332

12112133313330 has 96 divisors (see below), whose sum is σ = 31560657036480. Its totient is φ = 3222817476480.

The previous prime is 12112133313323. The next prime is 12112133313347. The reversal of 12112133313330 is 3331333121121.

12112133313330 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 13 + 3 + 313 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12112133313294 and 12112133313303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175960320 + ... + 176029140.

It is an arithmetic number, because the mean of its divisors is an integer number (328756844130).

Almost surely, 212112133313330 is an apocalyptic number.

12112133313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12112133313330 is an abundant number, since it is smaller than the sum of its proper divisors (19448523723150).

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

12112133313330 is a wasteful number, since it uses less digits than its factorization.

12112133313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73096 (or 73093 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12112133313330 its reverse (3331333121121), we get a palindrome (15443466434451).

The spelling of 12112133313330 in words is "twelve trillion, one hundred twelve billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 523 1046 1569 2615 3138 3739 4707 5230 7478 7845 9414 11217 15690 18695 22434 23535 33651 37390 47070 56085 67302 68821 112170 137642 168255 206463 336510 344105 412926 619389 688210 1032315 1238778 1955497 2064630 3096945 3910994 5866491 6193890 9777485 11732982 17599473 19554970 29332455 35198946 35993383 58664910 71986766 87997365 107980149 175994730 179966915 215960298 257321719 323940447 359933830 514643438 539900745 647880894 771965157 1079801490 1286608595 1543930314 1619702235 2315895471 2573217190 3239404470 3859825785 4631790942 7719651570 11579477355 23158954710 134579259037 269158518074 403737777111 672896295185 807475554222 1211213331333 1345792590370 2018688885555 2422426662666 4037377771110 6056066656665 12112133313330