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12124411310331 = 34448133404171
BaseRepresentation
bin1011000001101110111100…
…1110101011000011111011
31120221002020001220111110000
42300123233032223003323
53042121243243412311
641441513324124043
72360650133500665
oct260335716530373
946832201814400
1012124411310331
113954a30113741
121439960996623
1369c43379a048
142dcb78b45535
151605b52e6056
hexb06ef3ab0fb

12124411310331 has 20 divisors (see below), whose sum is σ = 18115817367384. Its totient is φ = 8081136806400.

The previous prime is 12124411310267. The next prime is 12124411310437. The reversal of 12124411310331 is 13301311442121.

12124411310331 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 4 + 11 + 310 + 331 = 666.

It is not a de Polignac number, because 12124411310331 - 26 = 12124411310267 is a prime.

It is a super-2 number, since 2×121244113103312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12124411310295 and 12124411310304.

It is not an unprimeable number, because it can be changed into a prime (12124411310131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16339125 + ... + 17065046.

Almost surely, 212124411310331 is an apocalyptic number.

12124411310331 is a deficient number, since it is larger than the sum of its proper divisors (5991406057053).

12124411310331 is an equidigital number, since it uses as much as digits as its factorization.

12124411310331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33408664 (or 33408655 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12124411310331 its reverse (13301311442121), we get a palindrome (25425722752452).

The spelling of 12124411310331 in words is "twelve trillion, one hundred twenty-four billion, four hundred eleven million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 4481 13443 40329 120987 362961 33404171 100212513 300637539 901912617 2705737851 149684090251 449052270753 1347156812259 4041470436777 12124411310331