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12222111011121 = 3211392931421651
BaseRepresentation
bin1011000111011010111010…
…0101011101000100110001
31121021102101221010112101200
42301312232211131010301
53100221340404323441
641554432115521413
72401006206320544
oct261665645350461
947242357115350
1012222111011121
113992406043a10
1214548882b9269
136a870385b39b
143037a649a85b
15162dd26007b6
hexb1dae95d131

12222111011121 has 24 divisors (see below), whose sum is σ = 19263986408160. Its totient is φ = 7405454472000.

The previous prime is 12222111011101. The next prime is 12222111011189. The reversal of 12222111011121 is 12111011122221.

It is a happy number.

It is not a de Polignac number, because 12222111011121 - 26 = 12222111011057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12222111011094 and 12222111011103.

It is not an unprimeable number, because it can be changed into a prime (12222111011101) 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 23 ways as a sum of consecutive naturals, for example, 15321855 + ... + 16099796.

It is an arithmetic number, because the mean of its divisors is an integer number (802666100340).

Almost surely, 212222111011121 is an apocalyptic number.

12222111011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222111011121 is a deficient number, since it is larger than the sum of its proper divisors (7041875397039).

12222111011121 is a wasteful number, since it uses less digits than its factorization.

12222111011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425597 (or 31425594 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12222111011121 its reverse (12111011122221), we get a palindrome (24333122133342).

The spelling of 12222111011121 in words is "twelve trillion, two hundred twenty-two billion, one hundred eleven million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 3929 11787 35361 43219 129657 388971 31421651 94264953 282794859 345638161 1036914483 3110743449 123455666779 370367000337 1111101001011 1358012334569 4074037003707 12222111011121