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122121222001 is a prime number
BaseRepresentation
bin111000110111011111…
…1011111011101110001
3102200012211121212001021
41301232333133131301
54000101013101001
6132033545335441
711552164155052
oct1615677373561
9380184555037
10122121222001
1147878278659
121b802197581
13b6927c590c
145ca6d58729
15329b310ba1
hex1c6efdf771

122121222001 has 2 divisors, whose sum is σ = 122121222002. Its totient is φ = 122121222000.

The previous prime is 122121221993. The next prime is 122121222011. The reversal of 122121222001 is 100222121221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95159910400 + 26961311601 = 308480^2 + 164199^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121222001 - 23 = 122121221993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121222011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060611000 + 61060611001.

It is an arithmetic number, because the mean of its divisors is an integer number (61060611001).

Almost surely, 2122121222001 is an apocalyptic number.

It is an amenable number.

122121222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121222001 is an equidigital number, since it uses as much as digits as its factorization.

122121222001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122121222001 its reverse (100222121221), we get a palindrome (222343343222).

The spelling of 122121222001 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, one".