Search a number
-
+
12333401000120 = 2352573498234177
BaseRepresentation
bin1011001101111001011111…
…1111000100100010111000
31121200001122220212202000002
42303132113333010202320
53104032301124000440
642121515230332132
72412026113525064
oct263362777044270
947601586782002
1012333401000120
113a25625373932
12147236705a048
136b605b399695
14308d22b16aa4
15165c47aac115
hexb3797fc48b8

12333401000120 has 128 divisors (see below), whose sum is σ = 27978595344000. Its totient is φ = 4892958130176.

The previous prime is 12333401000083. The next prime is 12333401000161. The reversal of 12333401000120 is 2100010433321.

It is a super-2 number, since 2×123334010001202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12333401000092 and 12333401000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952691472 + ... + 2952695648.

It is an arithmetic number, because the mean of its divisors is an integer number (218582776125).

Almost surely, 212333401000120 is an apocalyptic number.

12333401000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333401000120 is an abundant number, since it is smaller than the sum of its proper divisors (15645194343880).

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

12333401000120 is a wasteful number, since it uses less digits than its factorization.

12333401000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12333401000120 its reverse (2100010433321), we get a palindrome (14433411433441).

The spelling of 12333401000120 in words is "twelve trillion, three hundred thirty-three billion, four hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 257 349 514 698 823 1028 1285 1396 1646 1745 2056 2570 2792 3292 3490 4115 4177 5140 6584 6980 8230 8354 10280 13960 16460 16708 20885 32920 33416 41770 83540 89693 167080 179386 211511 287227 358772 423022 448465 574454 717544 846044 896930 1057555 1073489 1148908 1436135 1457773 1692088 1793860 2115110 2146978 2297816 2872270 2915546 3437671 3587720 4230220 4293956 5367445 5744540 5831092 6875342 7288865 8460440 8587912 10734890 11489080 11662184 13750684 14577730 17188355 21469780 27501368 29155460 34376710 42939560 58310920 68753420 73817339 137506840 147634678 295269356 369086695 374647661 590538712 738173390 749295322 883481447 1199747179 1476346780 1498590644 1766962894 1873238305 2399494358 2952693560 2997181288 3533925788 3746476610 4417407235 4798988716 5998735895 7067851576 7492953220 8834814470 9597977432 11997471790 14985906440 17669628940 23994943580 35339257880 47989887160 308335025003 616670050006 1233340100012 1541675125015 2466680200024 3083350250030 6166700500060 12333401000120