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12000122100073 is a prime number
BaseRepresentation
bin1010111010011111111100…
…0000111101100101101001
31120111012102010211102121101
42232213333000331211221
53033102222224200243
641304440251041401
72345660132601262
oct256477700754551
946435363742541
1012000122100073
1139072500a0458
121419854740261
136907b6aa0653
142d6b47cc3969
1515c23d9dd54d
hexae9ff03d969

12000122100073 has 2 divisors, whose sum is σ = 12000122100074. Its totient is φ = 12000122100072.

The previous prime is 12000122099983. The next prime is 12000122100133. The reversal of 12000122100073 is 37000122100021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11996060842089 + 4061257984 = 3463533^2 + 63728^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000122100073 - 29 = 12000122099561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12000122100073.

It is not a weakly prime, because it can be changed into another prime (12000122160073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000061050036 + 6000061050037.

It is an arithmetic number, because the mean of its divisors is an integer number (6000061050037).

Almost surely, 212000122100073 is an apocalyptic number.

It is an amenable number.

12000122100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000122100073 is an equidigital number, since it uses as much as digits as its factorization.

12000122100073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 12000122100073 its reverse (37000122100021), we get a palindrome (49000244200094).

The spelling of 12000122100073 in words is "twelve trillion, one hundred twenty-two million, one hundred thousand, seventy-three".