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122112209 is a prime number
BaseRepresentation
bin1110100011101…
…00100011010001
322111202221110102
413101310203101
5222230042314
620041142145
73011636162
oct721644321
9274687412
10122112209
1162a2478a
1234a8a955
131c3b645b
1412309769
15aac15de
hex74748d1

122112209 has 2 divisors, whose sum is σ = 122112210. Its totient is φ = 122112208.

The previous prime is 122112197. The next prime is 122112229. The reversal of 122112209 is 902211221.

It is a happy number.

It is an a-pointer prime, because the next prime (122112229) can be obtained adding 122112209 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., 116035984 + 6076225 = 10772^2 + 2465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112209 is a prime.

It is a super-2 number, since 2×1221122092 = 29822783173719362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056104 + 61056105.

It is an arithmetic number, because the mean of its divisors is an integer number (61056105).

Almost surely, 2122112209 is an apocalyptic number.

It is an amenable number.

122112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112209 is an equidigital number, since it uses as much as digits as its factorization.

122112209 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 square root of 122112209 is about 11050.4393125341. The cubic root of 122112209 is about 496.1195745030.

The spelling of 122112209 in words is "one hundred twenty-two million, one hundred twelve thousand, two hundred nine".