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122066261381 is a prime number
BaseRepresentation
bin111000110101110110…
…1110101010110000101
3102200002000012120020202
41301223231311112011
53444442430331011
6132024303340245
711550626050031
oct1615355652605
9380060176222
10122066261381
114784a249959
121b7a78b1685
13b6842c163c
145c9d92d1c1
1532965a623b
hex1c6bb75585

122066261381 has 2 divisors, whose sum is σ = 122066261382. Its totient is φ = 122066261380.

The previous prime is 122066261329. The next prime is 122066261393. The reversal of 122066261381 is 183162660221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73750264900 + 48315996481 = 271570^2 + 219809^2 .

It is a cyclic number.

It is not a de Polignac number, because 122066261381 - 210 = 122066260357 is a prime.

It is a super-2 number, since 2×1220662613812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122066261081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61033130690 + 61033130691.

It is an arithmetic number, because the mean of its divisors is an integer number (61033130691).

Almost surely, 2122066261381 is an apocalyptic number.

It is an amenable number.

122066261381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122066261381 is an equidigital number, since it uses as much as digits as its factorization.

122066261381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 122066261381 in words is "one hundred twenty-two billion, sixty-six million, two hundred sixty-one thousand, three hundred eighty-one".