121947849 has 21 divisors (see below), whose sum is σ = 183286263. Its totient is φ = 81099792.

The previous prime is 121947829. The next prime is 121947853. The reversal of 121947849 is 948749121.

It is a happy number.

The square root of 121947849 is 11043.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 111450249 + 10497600 = 10557^2 + 3240^2 .

It is not a de Polignac number, because 121947849 - 2⁹ = 121947337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121947809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 297957 + ... + 298365.

Almost surely, 2^121947849 is an apocalyptic number.

121947849 is the 11043-rd square number.

121947849 is the 5522-nd centered octagonal number.

It is an amenable number.

121947849 is a deficient number, since it is larger than the sum of its proper divisors (61338414).

121947849 is an frugal number, since it uses more digits than its factorization.

121947849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 412 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The cubic root of 121947849 is about 495.8968863543.

The spelling of 121947849 in words is "one hundred twenty-one million, nine hundred forty-seven thousand, eight hundred forty-nine".