121488641 has 16 divisors (see below), whose sum is σ = 130065600. Its totient is φ = 113151168.

The previous prime is 121488593. The next prime is 121488671. The reversal of 121488641 is 146884121.

121488641 = 128³ + 129³ + ... + 165³.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121488641 - 2¹⁰ = 121487617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121488671) 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 15 ways as a sum of consecutive naturals, for example, 414491 + ... + 414783.

It is an arithmetic number, because the mean of its divisors is an integer number (8129100).

Almost surely, 2^121488641 is an apocalyptic number.

It is an amenable number.

121488641 is a deficient number, since it is larger than the sum of its proper divisors (8576959).

121488641 is a wasteful number, since it uses less digits than its factorization.

121488641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its digits is 12288, while the sum is 35.

The square root of 121488641 is about 11022.1885757775. The cubic root of 121488641 is about 495.2736520418.

The spelling of 121488641 in words is "one hundred twenty-one million, four hundred eighty-eight thousand, six hundred forty-one".