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12022234401231 = 3229427310779827
BaseRepresentation
bin1010111011110010010100…
…0000101100100111001111
31120120022111012000201022100
42232330211000230213033
53033433014001314411
641322534354250143
72350402114214505
oct256744500544717
946508435021270
1012022234401231
11391566799a60a
121421ba5b86953
136928cbc82212
142d7c44938675
1515cad4e01456
hexaef2502c9cf

12022234401231 has 24 divisors (see below), whose sum is σ = 17968464100080. Its totient is φ = 7736638000896.

The previous prime is 12022234401211. The next prime is 12022234401299. The reversal of 12022234401231 is 13210443222021.

12022234401231 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 23 + 4 + 401 + 231 = 666.

It is not a de Polignac number, because 12022234401231 - 211 = 12022234399183 is a prime.

It is a super-2 number, since 2×120222344012312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12022234401195 and 12022234401204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022234401211) 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, 4274661 + ... + 6505166.

It is an arithmetic number, because the mean of its divisors is an integer number (748686004170).

Almost surely, 212022234401231 is an apocalyptic number.

12022234401231 is a deficient number, since it is larger than the sum of its proper divisors (5946229698849).

12022234401231 is a wasteful number, since it uses less digits than its factorization.

12022234401231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784135 (or 10784132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12022234401231 its reverse (13210443222021), we get a palindrome (25232677623252).

The spelling of 12022234401231 in words is "twelve trillion, twenty-two billion, two hundred thirty-four million, four hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 29 87 261 4273 12819 38457 123917 371751 1115253 10779827 32339481 97018443 312614983 937844949 2813534847 46062200771 138186602313 414559806939 1335803822359 4007411467077 12022234401231