121134144 has 28 divisors (see below), whose sum is σ = 320501264. Its totient is φ = 40377984.

The previous prime is 121134121. The next prime is 121134149. The reversal of 121134144 is 441431121.

It is a super-2 number, since 2×121134144² = 29346961685225472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121134144.

It is not an unprimeable number, because it can be changed into a prime (121134149) 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, 315262 + ... + 315645.

Almost surely, 2^121134144 is an apocalyptic number.

It is an amenable number.

121134144 is an abundant number, since it is smaller than the sum of its proper divisors (199367120).

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

121134144 is an equidigital number, since it uses as much as digits as its factorization.

121134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630922 (or 630912 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 121134144 is about 11006.0957655292. The cubic root of 121134144 is about 494.7914558725.

Adding to 121134144 its reverse (441431121), we get a palindrome (562565265).

It can be divided in two parts, 121134 and 144, that added together give a triangular number (121278 = T₄₉₂).

The spelling of 121134144 in words is "one hundred twenty-one million, one hundred thirty-four thousand, one hundred forty-four".