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122123111381 is a prime number
BaseRepresentation
bin111000110111100011…
…0101100101111010101
3102200012222011211210022
41301233012230233111
54000102004031011
6132034054034525
711552216214335
oct1615706545725
9380188154708
10122123111381
1147879349127
121b802948a45
13b6930078ab
145ca72cb0c5
15329b5858db
hex1c6f1acbd5

122123111381 has 2 divisors, whose sum is σ = 122123111382. Its totient is φ = 122123111380.

The previous prime is 122123111329. The next prime is 122123111443. The reversal of 122123111381 is 183111321221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114537572356 + 7585539025 = 338434^2 + 87095^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123111381 - 26 = 122123111317 is a prime.

It is a super-2 number, since 2×1221231113812 (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 122123111381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122123110381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061555690 + 61061555691.

It is an arithmetic number, because the mean of its divisors is an integer number (61061555691).

Almost surely, 2122123111381 is an apocalyptic number.

It is an amenable number.

122123111381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123111381 is an equidigital number, since it uses as much as digits as its factorization.

122123111381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 26.

The spelling of 122123111381 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred eleven thousand, three hundred eighty-one".