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12225441029 is a prime number
BaseRepresentation
bin10110110001011000…
…10110110100000101
31011120000022202022012
423120230112310011
5200014203103104
65341041344005
7611646351134
oct133054266405
934500282265
1012225441029
115203a4087a
122452338005
1311caa88999
1483d94391b
154b8452d6e
hex2d8b16d05

12225441029 has 2 divisors, whose sum is σ = 12225441030. Its totient is φ = 12225441028.

The previous prime is 12225441017. The next prime is 12225441031. The reversal of 12225441029 is 92014452221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7951288900 + 4274152129 = 89170^2 + 65377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12225441029 is a prime.

It is a super-2 number, since 2×122254410292 (a number of 21 digits) contains 22 as substring.

Together with 12225441031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12225440986 and 12225441004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12225441329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6112720514 + 6112720515.

It is an arithmetic number, because the mean of its divisors is an integer number (6112720515).

Almost surely, 212225441029 is an apocalyptic number.

It is an amenable number.

12225441029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12225441029 is an equidigital number, since it uses as much as digits as its factorization.

12225441029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 12225441029 in words is "twelve billion, two hundred twenty-five million, four hundred forty-one thousand, twenty-nine".