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12231221130012 = 2232397491930481
BaseRepresentation
bin1011000111111100110110…
…0101110011001100011100
31121022021220211102112010110
42301333031211303030130
53100344020102130022
642002540113210020
72401451030130123
oct261771545631434
947267824375113
1012231221130012
113996260508095
1214565ab260910
136a9526085b91
14303dcc378aba
151632672d000c
hexb1fcd97331c

12231221130012 has 96 divisors (see below), whose sum is σ = 30148688715264. Its totient is φ = 3851740569600.

The previous prime is 12231221129971. The next prime is 12231221130017. The reversal of 12231221130012 is 21003112213221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231221130017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12679812 + ... + 13610292.

It is an arithmetic number, because the mean of its divisors is an integer number (314048840784).

Almost surely, 212231221130012 is an apocalyptic number.

12231221130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231221130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074344357632).

12231221130012 is an abundant number, since it is smaller than the sum of its proper divisors (17917467585252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12231221130012 is a wasteful number, since it uses less digits than its factorization.

12231221130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931099 (or 931097 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12231221130012 its reverse (21003112213221), we get a palindrome (33234333343233).

The spelling of 12231221130012 in words is "twelve trillion, two hundred thirty-one billion, two hundred twenty-one million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 138 194 276 291 388 491 582 982 1164 1473 1964 2231 2946 4462 5892 6693 8924 11293 13386 22586 26772 33879 45172 47627 67758 95254 135516 142881 190508 285762 571524 930481 1095421 1860962 2190842 2791443 3286263 3721924 4381684 5582886 6572526 11165772 13145052 21401063 42802126 64203189 85604252 90256657 128406378 180513314 256812756 270769971 361026628 456866171 541539942 913732342 1083079884 1370598513 1827464684 2075903111 2741197026 4151806222 5482394052 6227709333 8303612444 10507921933 12455418666 21015843866 24910837332 31523765799 42031687732 44316018587 63047531598 88632037174 126095063196 132948055761 177264074348 265896111522 531792223044 1019268427501 2038536855002 3057805282503 4077073710004 6115610565006 12231221130012