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12123011081 is a prime number
BaseRepresentation
bin10110100101001011…
…00111100000001001
31011021212120202211102
423102211213200021
5144311442323311
65322542111145
7606263615426
oct132245474011
934255522742
1012123011081
11516113a725
122423b7b4b5
1311b27a414c
148300bcd4d
154ae46d43b
hex2d2967809

12123011081 has 2 divisors, whose sum is σ = 12123011082. Its totient is φ = 12123011080.

The previous prime is 12123011071. The next prime is 12123011167. The reversal of 12123011081 is 18011032121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11732355856 + 390655225 = 108316^2 + 19765^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123011081 - 210 = 12123010057 is a prime.

It is a super-3 number, since 3×121230110813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12123011071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061505540 + 6061505541.

It is an arithmetic number, because the mean of its divisors is an integer number (6061505541).

Almost surely, 212123011081 is an apocalyptic number.

It is an amenable number.

12123011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123011081 is an equidigital number, since it uses as much as digits as its factorization.

12123011081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

The spelling of 12123011081 in words is "twelve billion, one hundred twenty-three million, eleven thousand, eighty-one".