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13122110233120 = 255759919559549
BaseRepresentation
bin1011111011110011101010…
…1110000001101000100000
31201110110110102110002102011
42332330322232001220200
53204443040204424440
643524114134402304
72523020060431060
oct276747256015040
951413412402364
1013122110233120
1141aa068152229
12157b1a0200394
13742543104325
1433518371d3a0
1517b509a269ea
hexbef3ab81a20

13122110233120 has 96 divisors (see below), whose sum is σ = 35488847520000. Its totient is φ = 4491498126336.

The previous prime is 13122110233049. The next prime is 13122110233147. The reversal of 13122110233120 is 2133201122131.

13122110233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13122110233091 and 13122110233100.

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, 9108895 + ... + 10450654.

It is an arithmetic number, because the mean of its divisors is an integer number (369675495000).

Almost surely, 213122110233120 is an apocalyptic number.

13122110233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122110233120 is an abundant number, since it is smaller than the sum of its proper divisors (22366737286880).

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

13122110233120 is a wasteful number, since it uses less digits than its factorization.

13122110233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19560170 (or 19560162 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13122110233120 its reverse (2133201122131), we get a palindrome (15255311355251).

The spelling of 13122110233120 in words is "thirteen trillion, one hundred twenty-two billion, one hundred ten million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 599 1120 1198 2396 2995 4193 4792 5990 8386 9584 11980 16772 19168 20965 23960 33544 41930 47920 67088 83860 95840 134176 167720 335440 670880 19559549 39119098 78238196 97797745 136916843 156476392 195595490 273833686 312952784 391190980 547667372 625905568 684584215 782381960 1095334744 1369168430 1564763920 2190669488 2738336860 3129527840 4381338976 5476673720 10953347440 11716169851 21906694880 23432339702 46864679404 58580849255 82013188957 93729358808 117161698510 164026377914 187458717616 234323397020 328052755828 374917435232 410065944785 468646794040 656105511656 820131889570 937293588080 1312211023312 1640263779140 1874587176160 2624422046624 3280527558280 6561055116560 13122110233120