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12211121022210 = 23251112797121777
BaseRepresentation
bin1011000110110001111110…
…0001111110010100000010
31121020101001000112020210100
42301230133201332110002
53100031333440202320
641545413410143230
72400136651051545
oct261543741762402
947211030466710
1012211121022210
113988786523650
12145271b881b16
136a7671a2a676
14303042a7485c
1516298c88c790
hexb1b1f87e502

12211121022210 has 96 divisors (see below), whose sum is σ = 34907897935872. Its totient is φ = 2936962506240.

The previous prime is 12211121022187. The next prime is 12211121022277. The reversal of 12211121022210 is 1222012111221.

12211121022210 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 210 + 22 + 210 = 666.

12211121022210 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 2×122111210222102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48435159 + ... + 48686618.

It is an arithmetic number, because the mean of its divisors is an integer number (363623936832).

Almost surely, 212211121022210 is an apocalyptic number.

12211121022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211121022210 is an abundant number, since it is smaller than the sum of its proper divisors (22696776913662).

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

12211121022210 is a wasteful number, since it uses less digits than its factorization.

12211121022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97121928 (or 97121925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211121022210 its reverse (1222012111221), we get a palindrome (13433133133431).

The spelling of 12211121022210 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 127 165 198 254 330 381 495 635 762 990 1143 1270 1397 1905 2286 2794 3810 4191 5715 6985 8382 11430 12573 13970 20955 25146 41910 62865 125730 97121777 194243554 291365331 485608885 582730662 874095993 971217770 1068339547 1456826655 1748191986 2136679094 2913653310 3205018641 4370479965 5341697735 6410037282 8740959930 9615055923 10683395470 12334465679 16025093205 19230111846 24668931358 32050186410 37003397037 48075279615 61672328395 74006794074 96150559230 111010191111 123344656790 135679122469 185016985185 222020382222 271358244938 370033970370 407037367407 555050955555 678395612345 814074734814 1110101911110 1221112102221 1356791224690 2035186837035 2442224204442 4070373674070 6105560511105 12211121022210