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12333735122201 is a prime number
BaseRepresentation
bin1011001101111010101111…
…1001101001010100011001
31121200002112012120220022222
42303132223321221110121
53104033442142402301
642122012323553425
72412040311521663
oct263365371512431
947602465526288
1012333735122201
113a25786a33789
12147243ab2b875
136b60b268375c
14308d5524d533
15165c670ab31b
hexb37abe69519

12333735122201 has 2 divisors, whose sum is σ = 12333735122202. Its totient is φ = 12333735122200.

The previous prime is 12333735122153. The next prime is 12333735122249. The reversal of 12333735122201 is 10222153733321.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (12333735122153) and next prime (12333735122249).

It can be written as a sum of positive squares in only one way, i.e., 9820226108176 + 2513509014025 = 3133724^2 + 1585405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12333735122201 is a prime.

It is a super-2 number, since 2×123337351222012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12333735112201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166867561100 + 6166867561101.

It is an arithmetic number, because the mean of its divisors is an integer number (6166867561101).

Almost surely, 212333735122201 is an apocalyptic number.

It is an amenable number.

12333735122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333735122201 is an equidigital number, since it uses as much as digits as its factorization.

12333735122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 12333735122201 its reverse (10222153733321), we get a palindrome (22555888855522).

The spelling of 12333735122201 in words is "twelve trillion, three hundred thirty-three billion, seven hundred thirty-five million, one hundred twenty-two thousand, two hundred one".