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12211022212110 = 2335113400230161
BaseRepresentation
bin1011000110110001100110…
…1001000010110000001110
31121020100210010121011211000
42301230121221002300032
53100031133141241420
641545355520241130
72400134341143501
oct261543151026016
947210703534730
1012211022212110
113988735775107
1214526b27701a6
136a7657412657
143030338b3138
15162983d70690
hexb1b19a42c0e

12211022212110 has 64 divisors (see below), whose sum is σ = 32850891696960. Its totient is φ = 3227456010240.

The previous prime is 12211022212093. The next prime is 12211022212201. The reversal of 12211022212110 is 1121222011221.

12211022212110 is a `hidden beast` number, since 1 + 221 + 10 + 2 + 221 + 211 + 0 = 666.

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

It is a congruent number.

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, 200084571 + ... + 200145590.

It is an arithmetic number, because the mean of its divisors is an integer number (513295182765).

Almost surely, 212211022212110 is an apocalyptic number.

12211022212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211022212110 is an abundant number, since it is smaller than the sum of its proper divisors (20639869484850).

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

12211022212110 is a wasteful number, since it uses less digits than its factorization.

12211022212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400230290 (or 400230284 counting only the distinct ones).

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

Adding to 12211022212110 its reverse (1121222011221), we get a palindrome (13332244223331).

The spelling of 12211022212110 in words is "twelve trillion, two hundred eleven billion, twenty-two million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 5085 6102 10170 15255 30510 400230161 800460322 1200690483 2001150805 2401380966 3602071449 4002301610 6003452415 7204142898 10806214347 12006904830 18010357245 21612428694 36020714490 45226008193 54031071735 90452016386 108062143470 135678024579 226130040965 271356049158 407034073737 452260081930 678390122895 814068147474 1221102221211 1356780245790 2035170368685 2442204442422 4070340737370 6105511106055 12211022212110