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12002220001121 = 731811229157303
BaseRepresentation
bin1010111010100111110000…
…0011110100011101100001
31120111101211100101211211012
42232221330003310131201
53033121021310013441
641305424352230305
72346063125504000
oct256517403643541
946441740354735
1012002220001121
113908127325579
12141a13b23b395
13690a5c60500c
142d6ca6784c37
1515c312c8d9eb
hexaea7c0f4761

12002220001121 has 32 divisors (see below), whose sum is σ = 14085629376000. Its totient is φ = 10222390019520.

The previous prime is 12002220001073. The next prime is 12002220001139. The reversal of 12002220001121 is 12110002220021.

It is a de Polignac number, because none of the positive numbers 2k-12002220001121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12002220001096 and 12002220001105.

It is not an unprimeable number, because it can be changed into a prime (12002220001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76221356 + ... + 76378658.

It is an arithmetic number, because the mean of its divisors is an integer number (440175918000).

Almost surely, 212002220001121 is an apocalyptic number.

It is an amenable number.

12002220001121 is a deficient number, since it is larger than the sum of its proper divisors (2083409374879).

12002220001121 is a wasteful number, since it uses less digits than its factorization.

12002220001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158734 (or 158720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002220001121 its reverse (12110002220021), we get a palindrome (24112222221142).

The spelling of 12002220001121 in words is "twelve trillion, two billion, two hundred twenty million, one thousand, one hundred twenty-one".

Divisors: 1 7 49 181 343 1229 1267 8603 8869 60221 62083 157303 222449 421547 1101121 1557143 7707847 10900001 28471843 53954929 76300007 193325387 199302901 1353277709 1395120307 9472943963 9765842149 34991895047 66310607741 244943265329 1714602857303 12002220001121