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122120212013 is a prime number
BaseRepresentation
bin111000110111011101…
…1101000111000101101
3102200012202201112121022
41301232323220320231
54000100233241023
6132033511543525
711552152450352
oct1615673507055
9380182645538
10122120212013
1147877748858
121b80198aba5
13b692530ca7
145ca6b74629
15329b1b17c8
hex1c6eee8e2d

122120212013 has 2 divisors, whose sum is σ = 122120212014. Its totient is φ = 122120212012.

The previous prime is 122120212007. The next prime is 122120212021. The reversal of 122120212013 is 310212021221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105704965129 + 16415246884 = 325123^2 + 128122^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120212013 - 28 = 122120211757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120211982 and 122120212000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120212063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060106006 + 61060106007.

It is an arithmetic number, because the mean of its divisors is an integer number (61060106007).

Almost surely, 2122120212013 is an apocalyptic number.

It is an amenable number.

122120212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120212013 is an equidigital number, since it uses as much as digits as its factorization.

122120212013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122120212013 its reverse (310212021221), we get a palindrome (432332233234).

The spelling of 122120212013 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, thirteen".