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122712133321 is a prime number
BaseRepresentation
bin111001001001000110…
…1101000111011001001
3102201202000112020222201
41302102031220323021
54002303301231241
6132212334520201
711602630631431
oct1622215507311
9381660466881
10122712133321
1148050889018
121b948066061
13b75805b69b
145d216172c1
1532d3135931
hex1c92368ec9

122712133321 has 2 divisors, whose sum is σ = 122712133322. Its totient is φ = 122712133320.

The previous prime is 122712133319. The next prime is 122712133331. The reversal of 122712133321 is 123331217221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109776255625 + 12935877696 = 331325^2 + 113736^2 .

It is a cyclic number.

It is not a de Polignac number, because 122712133321 - 21 = 122712133319 is a prime.

Together with 122712133319, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122712133321.

It is not a weakly prime, because it can be changed into another prime (122712133331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61356066660 + 61356066661.

It is an arithmetic number, because the mean of its divisors is an integer number (61356066661).

Almost surely, 2122712133321 is an apocalyptic number.

It is an amenable number.

122712133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122712133321 is an equidigital number, since it uses as much as digits as its factorization.

122712133321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

The spelling of 122712133321 in words is "one hundred twenty-two billion, seven hundred twelve million, one hundred thirty-three thousand, three hundred twenty-one".