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121123123001 is a prime number
BaseRepresentation
bin111000011001110000…
…0000010111100111001
3102120122021112011121122
41300303200002330321
53441030004414001
6131350532515025
711515354362326
oct1606340027471
9376567464548
10121123123001
1147405933051
121b583a7ba75
13b563aa2aaa
145c10583b4d
15323d8a7b1b
hex1c33802f39

121123123001 has 2 divisors, whose sum is σ = 121123123002. Its totient is φ = 121123123000.

The previous prime is 121123122947. The next prime is 121123123021. The reversal of 121123123001 is 100321321121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88116954025 + 33006168976 = 296845^2 + 181676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121123123001 is a prime.

It is not a weakly prime, because it can be changed into another prime (121123123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561561500 + 60561561501.

It is an arithmetic number, because the mean of its divisors is an integer number (60561561501).

Almost surely, 2121123123001 is an apocalyptic number.

It is an amenable number.

121123123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121123123001 is an equidigital number, since it uses as much as digits as its factorization.

121123123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 121123123001 its reverse (100321321121), we get a palindrome (221444444122).

The spelling of 121123123001 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred twenty-three thousand, one".