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123120223321 is a prime number
BaseRepresentation
bin111001010101010001…
…0011000010001011001
3102202210110102101020011
41302222202120101121
54004122234121241
6132321033401521
711616014426254
oct1625242302131
9382713371204
10123120223321
114824017a087
121ba408692a1
13b7c1773364
145d5d8c609b
153308d96281
hex1caa898459

123120223321 has 2 divisors, whose sum is σ = 123120223322. Its totient is φ = 123120223320.

The previous prime is 123120223319. The next prime is 123120223339. The reversal of 123120223321 is 123322021321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102272040000 + 20848183321 = 319800^2 + 144389^2 .

It is a cyclic number.

It is not a de Polignac number, because 123120223321 - 21 = 123120223319 is a prime.

It is a super-2 number, since 2×1231202233212 (a number of 23 digits) contains 22 as substring.

Together with 123120223319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 123120223292 and 123120223301.

It is not a weakly prime, because it can be changed into another prime (123120223381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560111660 + 61560111661.

It is an arithmetic number, because the mean of its divisors is an integer number (61560111661).

Almost surely, 2123120223321 is an apocalyptic number.

It is an amenable number.

123120223321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123120223321 is an equidigital number, since it uses as much as digits as its factorization.

123120223321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123120223321 its reverse (123322021321), we get a palindrome (246442244642).

The spelling of 123120223321 in words is "one hundred twenty-three billion, one hundred twenty million, two hundred twenty-three thousand, three hundred twenty-one".