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122012122013 is a prime number
BaseRepresentation
bin111000110100001111…
…1010011101110011101
3102122221020022222222222
41301220133103232131
53444340100401023
6132015051115125
711546400632225
oct1615037235635
9378836288888
10122012122013
1147821731181
121b791742aa5
13b676017102
145c96679085
15329195ecc8
hex1c687d3b9d

122012122013 has 2 divisors, whose sum is σ = 122012122014. Its totient is φ = 122012122012.

The previous prime is 122012122009. The next prime is 122012122049. The reversal of 122012122013 is 310221210221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85008982969 + 37003139044 = 291563^2 + 192362^2 .

It is a cyclic number.

It is not a de Polignac number, because 122012122013 - 22 = 122012122009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122012121982 and 122012122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122012122213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006061006 + 61006061007.

It is an arithmetic number, because the mean of its divisors is an integer number (61006061007).

Almost surely, 2122012122013 is an apocalyptic number.

It is an amenable number.

122012122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012122013 is an equidigital number, since it uses as much as digits as its factorization.

122012122013 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 122012122013 its reverse (310221210221), we get a palindrome (432233332234).

The spelling of 122012122013 in words is "one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, thirteen".