120204404144 has 80 divisors (see below), whose sum is σ = 265584906240. Its totient is φ = 52206336000.

The previous prime is 120204404093. The next prime is 120204404179. The reversal of 120204404144 is 441404402021.

120204404144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120204404144² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291584 + ... + 570464.

It is an arithmetic number, because the mean of its divisors is an integer number (3319811328).

Almost surely, 2^120204404144 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 120204404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132792453120).

120204404144 is an abundant number, since it is smaller than the sum of its proper divisors (145380502096).

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

120204404144 is a wasteful number, since it uses less digits than its factorization.

120204404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279010 (or 279004 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 120204404144 its reverse (441404402021), we get a palindrome (561608806165).

The spelling of 120204404144 in words is "one hundred twenty billion, two hundred four million, four hundred four thousand, one hundred forty-four".