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122010222010249 is a prime number
BaseRepresentation
bin11011101111011110110111…
…111100010001111110001001
3121000000001201011010210211201
4123233132313330101332021
5111443003413313311444
61111254415555024201
734461643020302326
oct3357366774217611
9530001634123751
10122010222010249
1135970276585651
121182649459b061
13531068c670c01
14221b47d353b4d
15e18b74c46dd4
hex6ef7b7f11f89

122010222010249 has 2 divisors, whose sum is σ = 122010222010250. Its totient is φ = 122010222010248.

The previous prime is 122010222010207. The next prime is 122010222010253. The reversal of 122010222010249 is 942010222010221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108473120691849 + 13537101318400 = 10415043^2 + 3679280^2 .

It is a cyclic number.

It is not a de Polignac number, because 122010222010249 - 27 = 122010222010121 is a prime.

It is a super-2 number, since 2×1220102220102492 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122010222010849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005111005124 + 61005111005125.

It is an arithmetic number, because the mean of its divisors is an integer number (61005111005125).

Almost surely, 2122010222010249 is an apocalyptic number.

It is an amenable number.

122010222010249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010222010249 is an equidigital number, since it uses as much as digits as its factorization.

122010222010249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Subtracting from 122010222010249 its sum of digits (28), we obtain a palindrome (122010222010221).

The spelling of 122010222010249 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty-two million, ten thousand, two hundred forty-nine".