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121020012221100 = 223521723729414161
BaseRepresentation
bin11011100001000100101010…
…110101101101001010101100
3120212111101210201201121212120
4123201010222311231022230
5111330242441112033400
61105215454234432540
734330256502050136
oct3341045265551254
9525441721647776
10121020012221100
1135619331a06003
12116a65a5292750
13526b1a478b955
1421c5585260056
15ded01cc4dca0
hex6e112ad6d2ac

121020012221100 has 72 divisors (see below), whose sum is σ = 370748366867088. Its totient is φ = 30373650124800.

The previous prime is 121020012221047. The next prime is 121020012221111. The reversal of 121020012221100 is 1122210020121.

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 121020012221100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11864701981 + ... + 11864712180.

It is an arithmetic number, because the mean of its divisors is an integer number (5149282873154).

Almost surely, 2121020012221100 is an apocalyptic number.

121020012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020012221100 is an abundant number, since it is smaller than the sum of its proper divisors (249728354645988).

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

121020012221100 is a wasteful number, since it uses less digits than its factorization.

121020012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23729414195 (or 23729414188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121020012221100 its reverse (1122210020121), we get a palindrome (122142222241221).

The spelling of 121020012221100 in words is "one hundred twenty-one trillion, twenty billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 23729414161 47458828322 71188242483 94917656644 118647070805 142376484966 237294141610 284752969932 355941212415 403400040737 474588283220 593235354025 711882424830 806800081474 1186470708050 1210200122211 1423764849660 1613600162948 1779706062075 2017000203685 2372941416100 2420400244422 3559412124150 4034000407370 4840800488844 6051000611055 7118824248300 8068000814740 10085001018425 12102001222110 20170002036850 24204002444220 30255003055275 40340004073700 60510006110550 121020012221100