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122120012093 is a prime number
BaseRepresentation
bin111000110111011101…
…0111000000100111101
3102200012202100101100212
41301232322320010331
54000100210341333
6132033503402205
711552150655452
oct1615672700475
9380182311325
10122120012093
1147877621632
121b8018b3365
13b692490cb1
145ca6b21829
15329b172448
hex1c6eeb813d

122120012093 has 2 divisors, whose sum is σ = 122120012094. Its totient is φ = 122120012092.

The previous prime is 122120012029. The next prime is 122120012107. The reversal of 122120012093 is 390210021221.

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., 98318619364 + 23801392729 = 313558^2 + 154277^2 .

It is an emirp because it is prime and its reverse (390210021221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122120012093 - 26 = 122120012029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120011093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060006046 + 61060006047.

It is an arithmetic number, because the mean of its divisors is an integer number (61060006047).

Almost surely, 2122120012093 is an apocalyptic number.

It is an amenable number.

122120012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120012093 is an equidigital number, since it uses as much as digits as its factorization.

122120012093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 122120012093 in words is "one hundred twenty-two billion, one hundred twenty million, twelve thousand, ninety-three".