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12300220112320 = 26578366158671
BaseRepresentation
bin1011001011111101111001…
…0000000001110111000000
31121112220000111011222212201
42302333132100001313000
53103011322322043240
642054350525002544
72406442630606630
oct262773620016700
947486014158781
1012300220112320
113a12548650808
121467a469b3454
136b2ba0cc806a
1430749605a6c0
15164e54aacd9a
hexb2fde401dc0

12300220112320 has 112 divisors (see below), whose sum is σ = 33877474219008. Its totient is φ = 4166408401920.

The previous prime is 12300220112269. The next prime is 12300220112387. The reversal of 12300220112320 is 2321102200321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32893416 + ... + 33265255.

It is an arithmetic number, because the mean of its divisors is an integer number (302477448384).

Almost surely, 212300220112320 is an apocalyptic number.

12300220112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300220112320 is an abundant number, since it is smaller than the sum of its proper divisors (21577254106688).

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

12300220112320 is an equidigital number, since it uses as much as digits as its factorization.

12300220112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66158778 (or 66158768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12300220112320 its reverse (2321102200321), we get a palindrome (14621322312641).

The spelling of 12300220112320 in words is "twelve trillion, three hundred billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 140 160 166 224 280 320 332 415 448 560 581 664 830 1120 1162 1328 1660 2240 2324 2656 2905 3320 4648 5312 5810 6640 9296 11620 13280 18592 23240 26560 37184 46480 92960 185920 66158671 132317342 264634684 330793355 463110697 529269368 661586710 926221394 1058538736 1323173420 1852442788 2117077472 2315553485 2646346840 3704885576 4234154944 4631106970 5292693680 5491169693 7409771152 9262213940 10585387360 10982339386 14819542304 18524427880 21170774720 21964678772 27455848465 29639084608 37048855760 38438187851 43929357544 54911696930 74097711520 76876375702 87858715088 109823393860 148195423040 153752751404 175717430176 192190939255 219646787720 307505502808 351434860352 384381878510 439293575440 615011005616 768763757020 878587150880 1230022011232 1537527514040 1757174301760 2460044022464 3075055028080 6150110056160 12300220112320