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122200121009 is a prime number
BaseRepresentation
bin111000111001110110…
…0011101111010110001
3102200102100002100010202
41301303230131322301
54000231212333014
6132045444404545
711554142614241
oct1616354357261
9380370070122
10122200121009
114790886764a
121b8246a6755
13b6a5c5bb15
145cb3615b21
1532a31e83de
hex1c73b1deb1

122200121009 has 2 divisors, whose sum is σ = 122200121010. Its totient is φ = 122200121008.

The previous prime is 122200120967. The next prime is 122200121011. The reversal of 122200121009 is 900121002221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69049123984 + 53150997025 = 262772^2 + 230545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122200121009 is a prime.

It is a super-2 number, since 2×1222001210092 (a number of 23 digits) contains 22 as substring.

Together with 122200121011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122200121039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100060504 + 61100060505.

It is an arithmetic number, because the mean of its divisors is an integer number (61100060505).

Almost surely, 2122200121009 is an apocalyptic number.

It is an amenable number.

122200121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200121009 is an equidigital number, since it uses as much as digits as its factorization.

122200121009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 122200121009 in words is "one hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, nine".