Search a number
-
+
12230121132300 = 22352131797390463
BaseRepresentation
bin1011000111111000110000…
…0001101001000100001100
31121022012002011120211221110
42301332030001221010030
53100334242002213200
642002235020332020
72401411542243531
oct261761401510414
947265064524843
1012230121132300
1139958465a4575
1214563429a4010
136a93ac206266
14303d2623ad88
15163200949b50
hexb1f8c06910c

12230121132300 has 144 divisors (see below), whose sum is σ = 35700767004672. Its totient is φ = 3232400620800.

The previous prime is 12230121132253. The next prime is 12230121132331. The reversal of 12230121132300 is 323112103221.

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, 31126869 + ... + 31517331.

It is an arithmetic number, because the mean of its divisors is an integer number (247921993088).

Almost surely, 212230121132300 is an apocalyptic number.

12230121132300 is a gapful number since it is divisible by the number (10) 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 12230121132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850383502336).

12230121132300 is an abundant number, since it is smaller than the sum of its proper divisors (23470645872372).

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

12230121132300 is a wasteful number, since it uses less digits than its factorization.

12230121132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391408 (or 391401 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12230121132300 its reverse (323112103221), we get a palindrome (12553233235521).

The spelling of 12230121132300 in words is "twelve trillion, two hundred thirty billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 797 1310 1572 1594 1965 2391 2620 3188 3275 3930 3985 4782 6550 7860 7970 9564 9825 11955 13100 15940 19650 19925 23910 39300 39850 47820 59775 79700 104407 119550 208814 239100 313221 390463 417628 522035 626442 780926 1044070 1171389 1252884 1561852 1566105 1952315 2088140 2342778 2610175 3132210 3904630 4685556 5220350 5856945 6264420 7809260 7830525 9761575 10440700 11713890 15661050 19523150 23427780 29284725 31322100 39046300 51150653 58569450 102301306 117138900 153451959 204602612 255753265 306903918 311199011 511506530 613807836 622398022 767259795 933597033 1023013060 1244796044 1278766325 1534519590 1555995055 1867194066 2557532650 3069039180 3111990110 3734388132 3836298975 4667985165 5115065300 6223980220 7672597950 7779975275 9335970330 15345195900 15559950550 18671940660 23339925825 31119901100 40767070441 46679851650 81534140882 93359703300 122301211323 163068281764 203835352205 244602422646 407670704410 489204845292 611506056615 815341408820 1019176761025 1223012113230 2038353522050 2446024226460 3057530283075 4076707044100 6115060566150 12230121132300