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122112122269 is a prime number
BaseRepresentation
bin111000110111001110…
…0110001110110011101
3102200012012111112120011
41301232130301312131
54000041200403034
6132033022323221
711552023625164
oct1615634616635
9380165445504
10122112122269
1147873122915
121b7bb129511
13b69095aa67
145ca5a6a3db
15329a614864
hex1c6e731d9d

122112122269 has 2 divisors, whose sum is σ = 122112122270. Its totient is φ = 122112122268.

The previous prime is 122112122117. The next prime is 122112122291. The reversal of 122112122269 is 962221211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81004559769 + 41107562500 = 284613^2 + 202750^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112122269 - 29 = 122112121757 is a prime.

It is a super-2 number, since 2×1221121222692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112122269.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112122299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056061134 + 61056061135.

It is an arithmetic number, because the mean of its divisors is an integer number (61056061135).

Almost surely, 2122112122269 is an apocalyptic number.

It is an amenable number.

122112122269 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112122269 is an equidigital number, since it uses as much as digits as its factorization.

122112122269 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 31.

The spelling of 122112122269 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred sixty-nine".