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122142040001 is a prime number
BaseRepresentation
bin111000111000000111…
…0111001111111000001
3102200021021210111222022
41301300032321333001
54000121330240001
6132040011451225
711552536131662
oct1616016717701
9380237714868
10122142040001
1147888aa7513
121b809156b15
13b696c04467
145ca9a17369
15329d07411b
hex1c703b9fc1

122142040001 has 2 divisors, whose sum is σ = 122142040002. Its totient is φ = 122142040000.

The previous prime is 122142039983. The next prime is 122142040003. The reversal of 122142040001 is 100040241221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120815332225 + 1326707776 = 347585^2 + 36424^2 .

It is a cyclic number.

It is not a de Polignac number, because 122142040001 - 226 = 122074931137 is a prime.

Together with 122142040003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122142040003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61071020000 + 61071020001.

It is an arithmetic number, because the mean of its divisors is an integer number (61071020001).

Almost surely, 2122142040001 is an apocalyptic number.

It is an amenable number.

122142040001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122142040001 is an equidigital number, since it uses as much as digits as its factorization.

122142040001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122142040001 its reverse (100040241221), we get a palindrome (222182281222).

The spelling of 122142040001 in words is "one hundred twenty-two billion, one hundred forty-two million, forty thousand, one".