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122121200977 is a prime number
BaseRepresentation
bin111000110111011111…
…1011010010101010001
3102200012211120210012121
41301232333122111101
54000101011412402
6132033545054241
711552164036546
oct1615677322521
9380184523177
10122121200977
1147878263886
121b802187381
13b6927b9189
145ca6d50bcd
15329b309837
hex1c6efda551

122121200977 has 2 divisors, whose sum is σ = 122121200978. Its totient is φ = 122121200976.

The previous prime is 122121200911. The next prime is 122121201001. The reversal of 122121200977 is 779002121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117319265361 + 4801935616 = 342519^2 + 69296^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121200977 - 27 = 122121200849 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121230977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060600488 + 61060600489.

It is an arithmetic number, because the mean of its divisors is an integer number (61060600489).

Almost surely, 2122121200977 is an apocalyptic number.

It is an amenable number.

122121200977 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121200977 is an equidigital number, since it uses as much as digits as its factorization.

122121200977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 122121200977 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, nine hundred seventy-seven".