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122022111221 is a prime number
BaseRepresentation
bin111000110100100010…
…1011010011111110101
3102122221221010111121122
41301221011122133311
53444400130024341
6132020045153325
711546551555253
oct1615105323765
9378857114548
10122022111221
114782733421a
121b794b5b845
13b678103a9a
145c97b195d3
15329278494b
hex1c6915a7f5

122022111221 has 2 divisors, whose sum is σ = 122022111222. Its totient is φ = 122022111220.

The previous prime is 122022111193. The next prime is 122022111227. The reversal of 122022111221 is 122111220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119280436900 + 2741674321 = 345370^2 + 52361^2 .

It is an emirp because it is prime and its reverse (122111220221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122022111221 is a prime.

It is a super-2 number, since 2×1220221112212 (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 122022111221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022111227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011055610 + 61011055611.

It is an arithmetic number, because the mean of its divisors is an integer number (61011055611).

Almost surely, 2122022111221 is an apocalyptic number.

It is an amenable number.

122022111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022111221 is an equidigital number, since it uses as much as digits as its factorization.

122022111221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122022111221 its reverse (122111220221), we get a palindrome (244133331442).

The spelling of 122022111221 in words is "one hundred twenty-two billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".