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122621107361 is a prime number
BaseRepresentation
bin111001000110011001…
…0011001110010100001
3102201111200020122211212
41302030302121302201
54002112000413421
6132155323515505
711600444133554
oct1621462316241
9381450218755
10122621107361
1148004466955
121b921688b95
13b74223a77c
145d134c069b
1532ca154e5b
hex1c8cc99ca1

122621107361 has 2 divisors, whose sum is σ = 122621107362. Its totient is φ = 122621107360.

The previous prime is 122621107333. The next prime is 122621107369. The reversal of 122621107361 is 163701126221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88770627136 + 33850480225 = 297944^2 + 183985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122621107361 is a prime.

It is not a weakly prime, because it can be changed into another prime (122621107369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61310553680 + 61310553681.

It is an arithmetic number, because the mean of its divisors is an integer number (61310553681).

Almost surely, 2122621107361 is an apocalyptic number.

It is an amenable number.

122621107361 is a deficient number, since it is larger than the sum of its proper divisors (1).

122621107361 is an equidigital number, since it uses as much as digits as its factorization.

122621107361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 122621107361 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred seven thousand, three hundred sixty-one".