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122640281 is a prime number
BaseRepresentation
bin1110100111101…
…01011110011001
322112202202211122
413103311132121
5222343442111
620100335025
73016265561
oct723653631
9275682748
10122640281
1163255505
12350a4475
131c53c91a
1412405da1
15ab77cdb
hex74f5799

122640281 has 2 divisors, whose sum is σ = 122640282. Its totient is φ = 122640280.

The previous prime is 122640253. The next prime is 122640283. The reversal of 122640281 is 182046221.

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., 109390681 + 13249600 = 10459^2 + 3640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122640281 is a prime.

It is a super-2 number, since 2×1226402812 = 30081277047517922, which contains 22 as substring.

Together with 122640283, it forms a pair of twin primes.

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 122640281.

It is not a weakly prime, because it can be changed into another prime (122640283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61320140 + 61320141.

It is an arithmetic number, because the mean of its divisors is an integer number (61320141).

Almost surely, 2122640281 is an apocalyptic number.

It is an amenable number.

122640281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122640281 is an equidigital number, since it uses as much as digits as its factorization.

122640281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 122640281 is about 11074.3072469568. The cubic root of 122640281 is about 496.8336994059.

The spelling of 122640281 in words is "one hundred twenty-two million, six hundred forty thousand, two hundred eighty-one".