Search a number
-
+
12120121985837 is a prime number
BaseRepresentation
bin1011000001011110111110…
…0100001100101100101101
31120220200011010210020101212
42300113233210030230231
53042034002212021322
641435523541044205
72360435631026525
oct260275744145455
946820133706355
1012120121985837
113953129987768
121438b643b6665
1369bbcbc47a08
142dc88d1da685
151604139700e2
hexb05ef90cb2d

12120121985837 has 2 divisors, whose sum is σ = 12120121985838. Its totient is φ = 12120121985836.

The previous prime is 12120121985789. The next prime is 12120121985903. The reversal of 12120121985837 is 73858912102121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10609260638596 + 1510861347241 = 3257186^2 + 1229171^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120121985837 - 26 = 12120121985773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120121985137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060060992918 + 6060060992919.

It is an arithmetic number, because the mean of its divisors is an integer number (6060060992919).

Almost surely, 212120121985837 is an apocalyptic number.

It is an amenable number.

12120121985837 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120121985837 is an equidigital number, since it uses as much as digits as its factorization.

12120121985837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 50.

The spelling of 12120121985837 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, nine hundred eighty-five thousand, eight hundred thirty-seven".