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12020222213000 = 2353127353268123
BaseRepresentation
bin1010111011101010110100…
…0100110011101110001000
31120120010021221201221222022
42232322231010303232020
53033414403341304000
641322002554144012
72350301212000511
oct256725504635610
946503257657868
1012020222213000
113914825088831
121421724122008
1369266b12b2b1
142d7ad35c9a08
1515ca18432585
hexaeead133b88

12020222213000 has 128 divisors (see below), whose sum is σ = 28429209169920. Its totient is φ = 4756698777600.

The previous prime is 12020222212991. The next prime is 12020222213023. The reversal of 12020222213000 is 31222202021.

It is a self number, because there is not a number n which added to its sum of digits gives 12020222213000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44696939 + ... + 44965061.

It is an arithmetic number, because the mean of its divisors is an integer number (222103196640).

Almost surely, 212020222213000 is an apocalyptic number.

12020222213000 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 12020222213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214604584960).

12020222213000 is an abundant number, since it is smaller than the sum of its proper divisors (16408986956920).

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

12020222213000 is a wasteful number, since it uses less digits than its factorization.

12020222213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268624 (or 268610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12020222213000 its reverse (31222202021), we get a palindrome (12051444415021).

The spelling of 12020222213000 in words is "twelve trillion, twenty billion, two hundred twenty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 353 500 508 635 706 1000 1016 1270 1412 1765 2540 2824 3175 3530 5080 6350 7060 8825 12700 14120 15875 17650 25400 31750 35300 44125 44831 63500 70600 88250 89662 127000 176500 179324 224155 268123 353000 358648 448310 536246 896620 1072492 1120775 1340615 1793240 2144984 2241550 2681230 4483100 5362460 5603875 6703075 8966200 10724920 11207750 13406150 22415500 26812300 33515375 34051621 44831000 53624600 67030750 68103242 94647419 134061500 136206484 170258105 189294838 268123000 272412968 340516210 378589676 473237095 681032420 757179352 851290525 946474190 1362064840 1702581050 1892948380 2366185475 3405162100 3785896760 4256452625 4732370950 6810324200 8512905250 9464741900 11830927375 12020222213 17025810500 18929483800 23661854750 24040444426 34051621000 47323709500 48080888852 60101111065 94647419000 96161777704 120202222130 240404444260 300505555325 480808888520 601011110650 1202022221300 1502527776625 2404044442600 3005055553250 6010111106500 12020222213000