Search a number
-
+
12114012000733 is a prime number
BaseRepresentation
bin1011000001001000001101…
…1000011101000111011101
31120220002101022202211112021
42300102003120131013131
53041433444033010413
641433033354540141
72360131340021056
oct260220330350735
946802338684467
1012114012000733
113950583a654a5
12143793a137651
1369b467150606
142dc46d95b72d
151601a735e18d
hexb048361d1dd

12114012000733 has 2 divisors, whose sum is σ = 12114012000734. Its totient is φ = 12114012000732.

The previous prime is 12114012000719. The next prime is 12114012000737. The reversal of 12114012000733 is 33700021041121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11059369266969 + 1054642733764 = 3325563^2 + 1026958^2 .

It is a cyclic number.

It is not a de Polignac number, because 12114012000733 - 221 = 12114009903581 is a prime.

It is a super-3 number, since 3×121140120007333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114012000698 and 12114012000707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12114012000737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6057006000366 + 6057006000367.

It is an arithmetic number, because the mean of its divisors is an integer number (6057006000367).

Almost surely, 212114012000733 is an apocalyptic number.

It is an amenable number.

12114012000733 is a deficient number, since it is larger than the sum of its proper divisors (1).

12114012000733 is an equidigital number, since it uses as much as digits as its factorization.

12114012000733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 12114012000733 its reverse (33700021041121), we get a palindrome (45814033041854).

The spelling of 12114012000733 in words is "twelve trillion, one hundred fourteen billion, twelve million, seven hundred thirty-three", and thus it is an aban number.