Search a number
-
+
122000111099969 is a prime number
BaseRepresentation
bin11011101111010101011101…
…010010001110000001000001
3120222222002121111200100102012
4123233111131102032001001
5111442322211420144334
61111250024411102305
734461134325054644
oct3357253522160101
9528862544610365
10122000111099969
1135966a581a8053
1211824532441995
13530c73a9bcc6b
14221aba059da5b
15e1878227b9ce
hex6ef55d48e041

122000111099969 has 2 divisors, whose sum is σ = 122000111099970. Its totient is φ = 122000111099968.

The previous prime is 122000111099897. The next prime is 122000111099981. The reversal of 122000111099969 is 969990111000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112044066797569 + 9956044302400 = 10585087^2 + 3155320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122000111099969 is a prime.

It is a super-2 number, since 2×1220001110999692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122000111099369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000055549984 + 61000055549985.

It is an arithmetic number, because the mean of its divisors is an integer number (61000055549985).

Almost surely, 2122000111099969 is an apocalyptic number.

It is an amenable number.

122000111099969 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000111099969 is an equidigital number, since it uses as much as digits as its factorization.

122000111099969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 50.

The spelling of 122000111099969 in words is "one hundred twenty-two trillion, one hundred eleven million, ninety-nine thousand, nine hundred sixty-nine".