121350144 has 48 divisors (see below), whose sum is σ = 323537760. Its totient is φ = 40448000.

The previous prime is 121350143. The next prime is 121350149. The reversal of 121350144 is 441053121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 121350144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121350143) 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 in 3 ways as a sum of consecutive naturals, for example, 3732 + ... + 16019.

It is an arithmetic number, because the mean of its divisors is an integer number (6740370).

Almost surely, 2^121350144 is an apocalyptic number.

It is an amenable number.

121350144 is an abundant number, since it is smaller than the sum of its proper divisors (202187616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121350144 is an equidigital number, since it uses as much as digits as its factorization.

121350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19776 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 121350144 is about 11015.9041390165. The cubic root of 121350144 is about 495.0853765602.

The spelling of 121350144 in words is "one hundred twenty-one million, three hundred fifty thousand, one hundred forty-four".