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12201132303120 = 2435439487237791
BaseRepresentation
bin1011000110001100110000…
…1010000010001100010000
31121012102020212222202011110
42301203030022002030100
53044400404332144440
641541042305213320
72366334301252545
oct261431412021420
947172225882143
1012201132303120
113984520114102
1214507b2631240
136a673c48cab7
1430277620abcc
151625a59ac080
hexb18cc282310

12201132303120 has 160 divisors (see below), whose sum is σ = 37987671490560. Its totient is φ = 3239544430080.

The previous prime is 12201132303097. The next prime is 12201132303179. The reversal of 12201132303120 is 2130323110221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51191425 + ... + 51429215.

It is an arithmetic number, because the mean of its divisors is an integer number (237422946816).

Almost surely, 212201132303120 is an apocalyptic number.

12201132303120 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 12201132303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993835745280).

12201132303120 is an abundant number, since it is smaller than the sum of its proper divisors (25786539187440).

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

12201132303120 is a wasteful number, since it uses less digits than its factorization.

12201132303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238733 (or 238727 counting only the distinct ones).

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

Adding to 12201132303120 its reverse (2130323110221), we get a palindrome (14331455413341).

The spelling of 12201132303120 in words is "twelve trillion, two hundred one billion, one hundred thirty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 439 487 878 974 1317 1461 1756 1948 2195 2435 2634 2922 3512 3896 4390 4870 5268 5844 6585 7024 7305 7792 8780 9740 10536 11688 13170 14610 17560 19480 21072 23376 26340 29220 35120 38960 52680 58440 105360 116880 213793 237791 427586 475582 641379 713373 855172 951164 1068965 1188955 1282758 1426746 1710344 1902328 2137930 2377910 2565516 2853492 3206895 3420688 3566865 3804656 4275860 4755820 5131032 5706984 6413790 7133730 8551720 9511640 10262064 11413968 12827580 14267460 17103440 19023280 25655160 28534920 51310320 57069840 104390249 115804217 208780498 231608434 313170747 347412651 417560996 463216868 521951245 579021085 626341494 694825302 835121992 926433736 1043902490 1158042170 1252682988 1389650604 1565853735 1670243984 1737063255 1852867472 2087804980 2316084340 2505365976 2779301208 3131707470 3474126510 4175609960 4632168680 5010731952 5558602416 6263414940 6948253020 8351219920 9264337360 12526829880 13896506040 25053659760 27793012080 50838051263 101676102526 152514153789 203352205052 254190256315 305028307578 406704410104 508380512630 610056615156 762570768945 813408820208 1016761025260 1220113230312 1525141537890 2033522050520 2440226460624 3050283075780 4067044101040 6100566151560 12201132303120