Search a number
-
+
122000011229 is a prime number
BaseRepresentation
bin111000110011111000…
…1000110111111011101
3102122220101112201010102
41301213301012333131
53444324000324404
6132013535350445
711546162661635
oct1614761067735
9378811481112
10122000011229
114781590a168
121b789682425
13b673666875
145c94c056c5
15329086b71e
hex1c67c46fdd

122000011229 has 2 divisors, whose sum is σ = 122000011230. Its totient is φ = 122000011228.

The previous prime is 122000011219. The next prime is 122000011249. The reversal of 122000011229 is 922110000221.

It is a happy number.

It is an a-pointer prime, because the next prime (122000011249) can be obtained adding 122000011229 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122000011225 + 4 = 349285^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000011229 - 220 = 121998962653 is a prime.

It is a super-2 number, since 2×1220000112292 (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 122000011229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000011219) 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, 61000005614 + 61000005615.

It is an arithmetic number, because the mean of its divisors is an integer number (61000005615).

Almost surely, 2122000011229 is an apocalyptic number.

It is an amenable number.

122000011229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000011229 is an equidigital number, since it uses as much as digits as its factorization.

122000011229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 122000011229 in words is "one hundred twenty-two billion, eleven thousand, two hundred twenty-nine".