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122008121 is a prime number
BaseRepresentation
bin1110100010110…
…11001000111001
322111120122200022
413101123020321
5222213224441
620035020225
73011023544
oct721331071
9274518608
10122008121
1162963564
1234a3a675
131c37ac71
14122bd85b
15aaa084b
hex745b239

122008121 has 2 divisors, whose sum is σ = 122008122. Its totient is φ = 122008120.

The previous prime is 122008111. The next prime is 122008127. The reversal of 122008121 is 121800221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97614400 + 24393721 = 9880^2 + 4939^2 .

It is an emirp because it is prime and its reverse (121800221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122008121 - 26 = 122008057 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122008121.

It is not a weakly prime, because it can be changed into another prime (122008127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61004060 + 61004061.

It is an arithmetic number, because the mean of its divisors is an integer number (61004061).

Almost surely, 2122008121 is an apocalyptic number.

It is an amenable number.

122008121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122008121 is an equidigital number, since it uses as much as digits as its factorization.

122008121 is an evil number, because the sum of its binary digits is even.

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

The square root of 122008121 is about 11045.7286314666. The cubic root of 122008121 is about 495.9785709286.

Adding to 122008121 its reverse (121800221), we get a palindrome (243808342).

The spelling of 122008121 in words is "one hundred twenty-two million, eight thousand, one hundred twenty-one".