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12124413121 is a prime number
BaseRepresentation
bin10110100101010101…
…11101110011000001
31011021222020000001211
423102222331303001
5144312322204441
65323032130121
7606311545132
oct132252756301
934258200054
1012124413121
115161a08037
122424536941
1311b2b75362
14830365c89
154ae648a81
hex2d2abdcc1

12124413121 has 2 divisors, whose sum is σ = 12124413122. Its totient is φ = 12124413120.

The previous prime is 12124413109. The next prime is 12124413127. The reversal of 12124413121 is 12131442121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11672425521 + 451987600 = 108039^2 + 21260^2 .

It is a cyclic number.

It is not a de Polignac number, because 12124413121 - 215 = 12124380353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12124413092 and 12124413101.

It is not a weakly prime, because it can be changed into another prime (12124413127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6062206560 + 6062206561.

It is an arithmetic number, because the mean of its divisors is an integer number (6062206561).

Almost surely, 212124413121 is an apocalyptic number.

It is an amenable number.

12124413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12124413121 is an equidigital number, since it uses as much as digits as its factorization.

12124413121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 22.

Adding to 12124413121 its reverse (12131442121), we get a palindrome (24255855242).

The spelling of 12124413121 in words is "twelve billion, one hundred twenty-four million, four hundred thirteen thousand, one hundred twenty-one".