Search a number
-
+
12001201013819 is a prime number
BaseRepresentation
bin1010111010100011111101…
…0100101100010000111011
31120111022012022222221000202
42232220333110230100323
53033111424424420234
641305135311552415
72346025643322353
oct256507724542073
946438168887022
1012001201013819
113907754113306
121419ab5b2b70b
1369092947a654
142d6c0b2d3b63
1515c2a35ab77e
hexaea3f52c43b

12001201013819 has 2 divisors, whose sum is σ = 12001201013820. Its totient is φ = 12001201013818.

The previous prime is 12001201013801. The next prime is 12001201013831. The reversal of 12001201013819 is 91831010210021.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12001201013819 - 240 = 10901689386043 is a prime.

It is a super-2 number, since 2×120012010138192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001201013791 and 12001201013800.

It is not a weakly prime, because it can be changed into another prime (12001201013899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000600506909 + 6000600506910.

It is an arithmetic number, because the mean of its divisors is an integer number (6000600506910).

Almost surely, 212001201013819 is an apocalyptic number.

12001201013819 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001201013819 is an equidigital number, since it uses as much as digits as its factorization.

12001201013819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 12001201013819 in words is "twelve trillion, one billion, two hundred one million, thirteen thousand, eight hundred nineteen".