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120122200012200 = 233521721116329847
BaseRepresentation
bin11011010100000000100001…
…000011111011010110101000
3120202022120101122122211211020
4123110000201003323112220
5111221040231200342300
61103251213223132440
734205354045146251
oct3324004103732650
9522276348584736
10120122200012200
11353025a2367031
12115805a18a4120
13520462334b0b9
142193d34657b28
15dd49c282b8a0
hex6d40210fb5a8

120122200012200 has 96 divisors (see below), whose sum is σ = 372595196756160. Its totient is φ = 32013973619200.

The previous prime is 120122200012183. The next prime is 120122200012271. The reversal of 120122200012200 is 2210002221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120122200012200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57132324 + ... + 59197523.

It is an arithmetic number, because the mean of its divisors is an integer number (3881199966210).

Almost surely, 2120122200012200 is an apocalyptic number.

120122200012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122200012200 is an abundant number, since it is smaller than the sum of its proper divisors (252472996743960).

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

120122200012200 is a wasteful number, since it uses less digits than its factorization.

120122200012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116331587 (or 116331578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120122200012200 its reverse (2210002221021), we get a palindrome (122332202233221).

The spelling of 120122200012200 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1721 3442 5163 6884 8605 10326 13768 17210 20652 25815 34420 41304 43025 51630 68840 86050 103260 129075 172100 206520 258150 344200 516300 1032600 116329847 232659694 348989541 465319388 581649235 697979082 930638776 1163298470 1395958164 1744947705 2326596940 2791916328 2908246175 3489895410 4653193880 5816492350 6979790820 8724738525 11632984700 13959581640 17449477050 23265969400 34898954100 69797908200 200203666687 400407333374 600611000061 800814666748 1001018333435 1201222000122 1601629333496 2002036666870 2402444000244 3003055000305 4004073333740 4804888000488 5005091667175 6006110000610 8008146667480 10010183334350 12012220001220 15015275001525 20020366668700 24024440002440 30030550003050 40040733337400 60061100006100 120122200012200