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12310021221300 = 22335211414478829
BaseRepresentation
bin1011001100100010011001…
…1100010010101110110100
31121120211022112200220211000
42303020212130102232310
53103141410413040200
642103051244443300
72410240541633445
oct263104634225664
947524275626730
1012310021221300
113a1671806aa80
121469921249530
136b3aa3728c2a
14307b45a092cc
1516532a280300
hexb3226712bb4

12310021221300 has 144 divisors (see below), whose sum is σ = 43172114932800. Its totient is φ = 2984247561600.

The previous prime is 12310021221293. The next prime is 12310021221313. The reversal of 12310021221300 is 312212001321.

12310021221300 is a `hidden beast` number, since 1 + 23 + 100 + 21 + 221 + 300 = 666.

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

It is a congruent number.

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, 207209715 + ... + 207269114.

It is an arithmetic number, because the mean of its divisors is an integer number (299806353700).

Almost surely, 212310021221300 is an apocalyptic number.

12310021221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310021221300 is an abundant number, since it is smaller than the sum of its proper divisors (30862093711500).

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

12310021221300 is a wasteful number, since it uses less digits than its factorization.

12310021221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414478863 (or 414478850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12310021221300 its reverse (312212001321), we get a palindrome (12622233222621).

It can be divided in two parts, 123100 and 21221300, that added together give a square (21344400 = 46202).

The spelling of 12310021221300 in words is "twelve trillion, three hundred ten billion, twenty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 414478829 828957658 1243436487 1657915316 2072394145 2486872974 3730309461 4144788290 4559267119 4973745948 6217182435 7460618922 8289576580 9118534238 10361970725 11190928383 12434364870 13677801357 14921237844 18237068476 18651547305 20723941450 22381856766 22796335595 24868729740 27355602714 31085912175 37303094610 41033404071 41447882900 44763713532 45592671190 54711205428 55954641915 62171824350 68389006785 74606189220 82066808142 91185342380 93257736525 111909283830 113981677975 123100212213 124343648700 136778013570 164133616284 186515473050 205167020355 223818567660 227963355950 246200424426 273556027140 279773209575 341945033925 373030946100 410334040710 455926711900 492400848852 559546419150 615501061065 683890067850 820668081420 1025835101775 1119092838300 1231002122130 1367780135700 2051670203550 2462004244260 3077505305325 4103340407100 6155010610650 12310021221300