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122736216121 is a prime number
BaseRepresentation
bin111001001001110100…
…1100000100000111001
3102201210200211210101021
41302103221200200321
54002330432403441
6132214555022441
711603342423611
oct1622351404071
9381720753337
10122736216121
1148063437862
121b95413aa21
13b76004126c
145d248c5a41
1532d52e13d1
hex1c93a60839

122736216121 has 2 divisors, whose sum is σ = 122736216122. Its totient is φ = 122736216120.

The previous prime is 122736216049. The next prime is 122736216133. The reversal of 122736216121 is 121612637221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119840592400 + 2895623721 = 346180^2 + 53811^2 .

It is a cyclic number.

It is not a de Polignac number, because 122736216121 - 27 = 122736215993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122736216151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61368108060 + 61368108061.

It is an arithmetic number, because the mean of its divisors is an integer number (61368108061).

Almost surely, 2122736216121 is an apocalyptic number.

It is an amenable number.

122736216121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122736216121 is an equidigital number, since it uses as much as digits as its factorization.

122736216121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 34.

The spelling of 122736216121 in words is "one hundred twenty-two billion, seven hundred thirty-six million, two hundred sixteen thousand, one hundred twenty-one".