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121949 is a prime number
BaseRepresentation
bin11101110001011101
320012021122
4131301131
512400244
62340325
71015352
oct356135
9205248
10121949
1183693
125a6a5
1343679
1432629
15261ee
hex1dc5d

121949 has 2 divisors, whose sum is σ = 121950. Its totient is φ = 121948.

The previous prime is 121937. The next prime is 121951. The reversal of 121949 is 949121.

121949 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85849 + 36100 = 293^2 + 190^2 .

It is an emirp because it is prime and its reverse (949121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121949 is a prime.

Together with 121951, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60974 + 60975.

It is an arithmetic number, because the mean of its divisors is an integer number (60975).

2121949 is an apocalyptic number.

It is an amenable number.

121949 is a deficient number, since it is larger than the sum of its proper divisors (1).

121949 is an equidigital number, since it uses as much as digits as its factorization.

121949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 26.

The square root of 121949 is about 349.2119700125. The cubic root of 121949 is about 49.5898446517.

It can be divided in two parts, 12194 and 9, that multiplied together give a triangular number (109746 = T468).

The spelling of 121949 in words is "one hundred twenty-one thousand, nine hundred forty-nine".