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12213313322000 = 245375316459991
BaseRepresentation
bin1011000110111010001000…
…1100111011110000010000
31121020120200210201121201212
42301232202030323300100
53100100331202301000
641550415122515252
72400245201230250
oct261564214736020
947216623647655
1012213313322000
113989700a7395a
121453031b05b28
136a7930c9418b
143031adca9960
15162a6a087c35
hexb1ba233bc10

12213313322000 has 160 divisors (see below), whose sum is σ = 34387425206784. Its totient is φ = 4108413504000.

The previous prime is 12213313321969. The next prime is 12213313322009. The reversal of 12213313322000 is 22331331221.

It is not an unprimeable number, because it can be changed into a prime (12213313322009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7487996 + ... + 8971995.

Almost surely, 212213313322000 is an apocalyptic number.

12213313322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213313322000 is an abundant number, since it is smaller than the sum of its proper divisors (22174111884784).

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

12213313322000 is a wasteful number, since it uses less digits than its factorization.

12213313322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16460074 (or 16460058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12213313322000 its reverse (22331331221), we get a palindrome (12235644653221).

The spelling of 12213313322000 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 125 140 175 200 212 250 265 280 350 371 400 424 500 530 560 700 742 848 875 1000 1060 1325 1400 1484 1750 1855 2000 2120 2650 2800 2968 3500 3710 4240 5300 5936 6625 7000 7420 9275 10600 13250 14000 14840 18550 21200 26500 29680 37100 46375 53000 74200 92750 106000 148400 185500 371000 742000 16459991 32919982 65839964 82299955 115219937 131679928 164599910 230439874 263359856 329199820 411499775 460879748 576099685 658399640 822999550 872379523 921759496 1152199370 1316799280 1645999100 1744759046 1843518992 2057498875 2304398740 2880498425 3291998200 3489518092 4114997750 4361897615 4608797480 5760996850 6106656661 6583996400 6979036184 8229995500 8723795230 9217594960 11521993700 12213313322 13958072368 14402492125 16459991000 17447590460 21809488075 23043987400 24426626644 28804984250 30533283305 32919982000 34895180920 43618976150 46087974800 48853253288 57609968500 61066566610 69790361840 87237952300 97706506576 109047440375 115219937000 122133133220 152666416525 174475904600 218094880750 230439874000 244266266440 305332833050 348951809200 436189761500 488532532880 610665666100 763332082625 872379523000 1221331332200 1526664165250 1744759046000 2442662664400 3053328330500 6106656661000 12213313322000