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122112202213 is a prime number
BaseRepresentation
bin111000110111001110…
…1000101010111100101
3102200012012122121020001
41301232131011113211
54000041210432323
6132033024141301
711552024410231
oct1615635052745
9380165577201
10122112202213
1147873177991
121b7bb167831
13b690988271
145ca5a8b5c1
15329a62d3ad
hex1c6e7455e5

122112202213 has 2 divisors, whose sum is σ = 122112202214. Its totient is φ = 122112202212.

The previous prime is 122112202187. The next prime is 122112202229. The reversal of 122112202213 is 312202211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122064288129 + 47914084 = 349377^2 + 6922^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112202213 - 217 = 122112071141 is a prime.

It is a super-2 number, since 2×1221122022132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112202913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056101106 + 61056101107.

It is an arithmetic number, because the mean of its divisors is an integer number (61056101107).

Almost surely, 2122112202213 is an apocalyptic number.

It is an amenable number.

122112202213 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112202213 is an equidigital number, since it uses as much as digits as its factorization.

122112202213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122112202213 its reverse (312202211221), we get a palindrome (434314413434).

The spelling of 122112202213 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred thirteen".