121304144 has 60 divisors (see below), whose sum is σ = 257395356. Its totient is φ = 55351296.

The previous prime is 121304123. The next prime is 121304153. The reversal of 121304144 is 441403121.

It can be written as a sum of positive squares in 6 ways, for example, as 42094144 + 79210000 = 6488^2 + 8900^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305354 + ... + 305750.

Almost surely, 2^121304144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128697678).

121304144 is an abundant number, since it is smaller than the sum of its proper divisors (136091212).

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

121304144 is a wasteful number, since it uses less digits than its factorization.

121304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 121304144 is about 11013.8160507610. The cubic root of 121304144 is about 495.0228115869.

Adding to 121304144 its reverse (441403121), we get a palindrome (562707265).

The spelling of 121304144 in words is "one hundred twenty-one million, three hundred four thousand, one hundred forty-four".