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122122330133 is a prime number
BaseRepresentation
bin111000110111100001…
…1101110000000010101
3102200012220201011010012
41301233003232000111
54000101304031013
6132034025210005
711552206451546
oct1615703560025
9380186634105
10122122330133
1147878965171
121b802630905
13b692ac310b
145ca71664cd
15329b47e1a8
hex1c6f0ee015

122122330133 has 2 divisors, whose sum is σ = 122122330134. Its totient is φ = 122122330132.

The previous prime is 122122330117. The next prime is 122122330139. The reversal of 122122330133 is 331033221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112685761969 + 9436568164 = 335687^2 + 97142^2 .

It is an emirp because it is prime and its reverse (331033221221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122122330133 - 24 = 122122330117 is a prime.

It is a super-2 number, since 2×1221223301332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122330099 and 122122330108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122330139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061165066 + 61061165067.

It is an arithmetic number, because the mean of its divisors is an integer number (61061165067).

Almost surely, 2122122330133 is an apocalyptic number.

It is an amenable number.

122122330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122330133 is an equidigital number, since it uses as much as digits as its factorization.

122122330133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122122330133 its reverse (331033221221), we get a palindrome (453155551354).

The spelling of 122122330133 in words is "one hundred twenty-two billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirty-three".