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12202120211121 = 3237203591799843
BaseRepresentation
bin1011000110010000011100…
…0010100110101010110001
31121012111210201220200011200
42301210013002212222301
53044404420233223441
641541324315401413
72366400625322031
oct261440702465261
947174721820150
1012202120211121
113984987828aa5
121450a29453269
136a6869055149
1430282b4cb8c1
151626125a07b6
hexb19070a6ab1

12202120211121 has 24 divisors (see below), whose sum is σ = 18102542976960. Its totient is φ = 7914495622176.

The previous prime is 12202120211117. The next prime is 12202120211191. The reversal of 12202120211121 is 12111202120221.

12202120211121 is a `hidden beast` number, since 1 + 220 + 212 + 0 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 12202120211121 - 22 = 12202120211117 is a prime.

It is a super-2 number, since 2×122021202111212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12202120211094 and 12202120211103.

It is not an unprimeable number, because it can be changed into a prime (12202120211191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5879626 + ... + 7679468.

It is an arithmetic number, because the mean of its divisors is an integer number (754272624040).

Almost surely, 212202120211121 is an apocalyptic number.

It is an amenable number.

12202120211121 is a deficient number, since it is larger than the sum of its proper divisors (5900422765839).

12202120211121 is a wasteful number, since it uses less digits than its factorization.

12202120211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820245 (or 1820242 counting only the distinct ones).

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

Adding to 12202120211121 its reverse (12111202120221), we get a palindrome (24313322331342).

The spelling of 12202120211121 in words is "twelve trillion, two hundred two billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 20359 61077 183231 753283 1799843 2259849 5399529 6779547 16198587 66594191 199782573 599347719 36643003637 109929010911 329787032733 1355791134569 4067373403707 12202120211121