Search a number
-
+
122122300121009 is a prime number
BaseRepresentation
bin11011110001000111010000…
…010100010101111110110001
3121000101210000001212202020222
4123301013100110111332301
5112001322432312333014
61111422113221542425
734503021304441616
oct3361072024257661
9530353001782228
10122122300121009
1135a0385a773071
1211844153274a15
13531b111563646
142222a7252650d
15e1ba344d108e
hex6f11d0515fb1

122122300121009 has 2 divisors, whose sum is σ = 122122300121010. Its totient is φ = 122122300121008.

The previous prime is 122122300120993. The next prime is 122122300121021. The reversal of 122122300121009 is 900121003221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116376197328400 + 5746102792609 = 10787780^2 + 2397103^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122300121009 - 24 = 122122300120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122300121209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061150060504 + 61061150060505.

It is an arithmetic number, because the mean of its divisors is an integer number (61061150060505).

Almost surely, 2122122300121009 is an apocalyptic number.

It is an amenable number.

122122300121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122300121009 is an equidigital number, since it uses as much as digits as its factorization.

122122300121009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 122122300121009 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred million, one hundred twenty-one thousand, nine".