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122341244257 is a prime number
BaseRepresentation
bin111000111110000011…
…0110011110101100001
3102200210011122010211201
41301330012303311201
54001023324304012
6132111445241201
711560505263261
oct1617406636541
9380704563751
10122341244257
1147980496631
121b863a03201
13b6c92704bb
145cc826d7a1
1532b07c2857
hex1c7c1b3d61

122341244257 has 2 divisors, whose sum is σ = 122341244258. Its totient is φ = 122341244256.

The previous prime is 122341244237. The next prime is 122341244273. The reversal of 122341244257 is 752442143221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86544225856 + 35797018401 = 294184^2 + 189201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122341244257 is a prime.

It is a super-3 number, since 3×1223412442573 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122341244237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61170622128 + 61170622129.

It is an arithmetic number, because the mean of its divisors is an integer number (61170622129).

Almost surely, 2122341244257 is an apocalyptic number.

It is an amenable number.

122341244257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122341244257 is an equidigital number, since it uses as much as digits as its factorization.

122341244257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107520, while the sum is 37.

Adding to 122341244257 its reverse (752442143221), we get a palindrome (874783387478).

The spelling of 122341244257 in words is "one hundred twenty-two billion, three hundred forty-one million, two hundred forty-four thousand, two hundred fifty-seven".