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12228740483840 = 28517749974941
BaseRepresentation
bin1011000111110011100110…
…1110111000101100000000
31121022001111221122122022022
42301330321232320230000
53100323430030440330
642001450020301012
72401332406026416
oct261747156705400
947261457578268
1012228740483840
1139951a8222991
121456018541768
136a921c1719ca
14303c34b252b6
1516316e628ae5
hexb1f39bb8b00

12228740483840 has 144 divisors (see below), whose sum is σ = 31019243220000. Its totient is φ = 4603085783040.

The previous prime is 12228740483837. The next prime is 12228740483881. The reversal of 12228740483840 is 4838404782221.

12228740483840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122287404838402 (a number of 27 digits) contains 22 as substring.

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, 163140770 + ... + 163215710.

It is an arithmetic number, because the mean of its divisors is an integer number (215411411250).

Almost surely, 212228740483840 is an apocalyptic number.

12228740483840 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 12228740483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509621610000).

12228740483840 is an abundant number, since it is smaller than the sum of its proper divisors (18790502736160).

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

12228740483840 is an equidigital number, since it uses as much as digits as its factorization.

12228740483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82478 (or 82464 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 53.

The spelling of 12228740483840 in words is "twelve trillion, two hundred twenty-eight billion, seven hundred forty million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 7499 10880 14998 21760 29996 37495 59992 74941 74990 119984 127483 149882 149980 239968 254966 299764 299960 374705 479936 509932 599528 599920 637415 749410 959872 1019864 1199056 1199840 1273997 1274830 1498820 1919744 2039728 2398112 2399680 2547994 2549660 2997640 4079456 4796224 4799360 5095988 5099320 5995280 6369985 8158912 9592448 9598720 10191976 10198640 11990560 12739970 16317824 19184896 20383952 20397280 23981120 25479940 32635648 40767904 40794560 47962240 50959880 81535808 81589120 95924480 101919760 163071616 163178240 203839520 326143232 407679040 561982559 815358080 1123965118 1630716160 2247930236 2809912795 4495860472 5619825590 8991720944 9553703503 11239651180 17983441888 19107407006 22479302360 35966883776 38214814012 44958604720 47768517515 71933767552 76429628024 89917209440 95537035030 143867535104 152859256048 179834418880 191074070060 305718512096 359668837760 382148140120 611437024192 719337675520 764296280240 1222874048384 1528592560480 2445748096768 3057185120960 6114370241920 12228740483840