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121121332049 is a prime number
BaseRepresentation
bin111000011001101100…
…1001101101101010001
3102120122011011011220002
41300303121031231101
53441024030111144
6131350430255345
711515333223024
oct1606331155521
9376564134802
10121121332049
114740491a523
121b583357555
13b5635c6863
145c102391bb
15323d65214e
hex1c3364db51

121121332049 has 2 divisors, whose sum is σ = 121121332050. Its totient is φ = 121121332048.

The previous prime is 121121331983. The next prime is 121121332061. The reversal of 121121332049 is 940233121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61080651025 + 60040681024 = 247145^2 + 245032^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121332049 - 212 = 121121327953 is a prime.

It is a super-2 number, since 2×1211213320492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121121332349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560666024 + 60560666025.

It is an arithmetic number, because the mean of its divisors is an integer number (60560666025).

Almost surely, 2121121332049 is an apocalyptic number.

It is an amenable number.

121121332049 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121332049 is an equidigital number, since it uses as much as digits as its factorization.

121121332049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 121121332049 in words is "one hundred twenty-one billion, one hundred twenty-one million, three hundred thirty-two thousand, forty-nine".