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122120001013 is a prime number
BaseRepresentation
bin111000110111011101…
…0110101010111110101
3102200012202022211011111
41301232322311113311
54000100210013023
6132033503235021
711552150611243
oct1615672652765
9380182284144
10122120001013
114787761427a
121b8018a8a71
13b692488c3a
145ca6b1b793
15329b16e00d
hex1c6eeb55f5

122120001013 has 2 divisors, whose sum is σ = 122120001014. Its totient is φ = 122120001012.

The previous prime is 122120000921. The next prime is 122120001019. The reversal of 122120001013 is 310100021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77859415089 + 44260585924 = 279033^2 + 210382^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122120001013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120000984 and 122120001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120001019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060000506 + 61060000507.

It is an arithmetic number, because the mean of its divisors is an integer number (61060000507).

Almost surely, 2122120001013 is an apocalyptic number.

It is an amenable number.

122120001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120001013 is an equidigital number, since it uses as much as digits as its factorization.

122120001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122120001013 its reverse (310100021221), we get a palindrome (432220022234).

The spelling of 122120001013 in words is "one hundred twenty-two billion, one hundred twenty million, one thousand, thirteen".