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12202111120221 = 3211373331179667
BaseRepresentation
bin1011000110010000011001…
…1111111011001101011101
31121012111210002210210210200
42301210012133323031131
53044404410421321341
641541323352454113
72366400455126661
oct261440637731535
947174702723720
1012202111120221
113984982689960
121450a263aa339
136a68671c1309
1430282a2028a1
151626118a6db6
hexb19067fb35d

12202111120221 has 24 divisors (see below), whose sum is σ = 19747233071904. Its totient is φ = 7195348078560.

The previous prime is 12202111120201. The next prime is 12202111120261.

12202111120221 is a `hidden beast` number, since 1 + 220 + 211 + 1 + 12 + 0 + 221 = 666.

12202111120221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12202111120221 - 222 = 12202106925917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202111120194 and 12202111120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202111120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1665586171 + ... + 1665593496.

It is an arithmetic number, because the mean of its divisors is an integer number (822801377996).

Almost surely, 212202111120221 is an apocalyptic number.

12202111120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202111120221 is a deficient number, since it is larger than the sum of its proper divisors (7545121951683).

12202111120221 is a wasteful number, since it uses less digits than its factorization.

12202111120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331179721 (or 3331179718 counting only the distinct ones).

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

It can be divided in two parts, 1220211 and 1120221, that added together give a palindrome (2340432).

The spelling of 12202111120221 in words is "twelve trillion, two hundred two billion, one hundred eleven million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 3331179667 9993539001 29980617003 36642976337 109928929011 123253647679 329786787033 369760943037 1109282829111 1355790124469 4067370373407 12202111120221