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12120200009 is a prime number
BaseRepresentation
bin10110100100110101…
…11001001101001001
31011021200021221202122
423102122321031021
5144310232400014
65322401541025
7606231000041
oct132232711511
934250257678
1012120200009
11515a59a725
122423044775
1311b202b7a8
1482d98a721
154ae0b558e
hex2d26b9349

12120200009 has 2 divisors, whose sum is σ = 12120200010. Its totient is φ = 12120200008.

The previous prime is 12120199967. The next prime is 12120200023. The reversal of 12120200009 is 90000202121.

12120200009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12007776400 + 112423609 = 109580^2 + 10603^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120200009 - 28 = 12120199753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12120200009.

It is not a weakly prime, because it can be changed into another prime (12120200039) 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, 6060100004 + 6060100005.

It is an arithmetic number, because the mean of its divisors is an integer number (6060100005).

Almost surely, 212120200009 is an apocalyptic number.

It is an amenable number.

12120200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120200009 is an equidigital number, since it uses as much as digits as its factorization.

12120200009 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.

The spelling of 12120200009 in words is "twelve billion, one hundred twenty million, two hundred thousand, nine".