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12011101102220 = 22511412635063147
BaseRepresentation
bin1010111011001000110101…
…1010100010000010001100
31120112020202021202112012112
42232302031122202002030
53033242213340232340
641313453525123152
72346526165561013
oct256621532420214
946466667675175
1012011101102220
113910974497250
12141b9b95594b8
1369184655561c
142d74aa089a7a
1515c6827d1065
hexaec8d6a208c

12011101102220 has 96 divisors (see below), whose sum is σ = 28294653252096. Its totient is φ = 4244941606400.

The previous prime is 12011101102207. The next prime is 12011101102237. The reversal of 12011101102220 is 2220110111021.

It is a junction number, because it is equal to n+sod(n) for n = 12011101102195 and 12011101102204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159314 + ... + 4903833.

It is an arithmetic number, because the mean of its divisors is an integer number (294735971376).

Almost surely, 212011101102220 is an apocalyptic number.

12011101102220 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 12011101102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147326626048).

12011101102220 is an abundant number, since it is smaller than the sum of its proper divisors (16283552149876).

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

12011101102220 is a wasteful number, since it uses less digits than its factorization.

12011101102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063471 (or 5063469 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12011101102220 its reverse (2220110111021), we get a palindrome (14231211213241).

The spelling of 12011101102220 in words is "twelve trillion, eleven billion, one hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 263 410 451 526 820 902 1052 1315 1804 2255 2630 2893 4510 5260 5786 9020 10783 11572 14465 21566 28930 43132 53915 57860 107830 118613 215660 237226 474452 593065 1186130 2372260 5063147 10126294 20252588 25315735 50631470 55694617 101262940 111389234 207589027 222778468 278473085 415178054 556946170 830356108 1037945135 1113892340 1331607661 2075890270 2283479297 2663215322 4151780540 4566958594 5326430644 6658038305 9133917188 11417396485 13316076610 14647684271 22834792970 26632153220 29295368542 45669585940 54595914101 58590737084 73238421355 109191828202 146476842710 218383656404 272979570505 292953685420 545959141010 600555055111 1091918282020 1201110110222 2402220220444 3002775275555 6005550551110 12011101102220