120121144 has 96 divisors (see below), whose sum is σ = 273929040. Its totient is φ = 48921600.

The previous prime is 120121123. The next prime is 120121163. The reversal of 120121144 is 441121021.

120121144 = T₃₈₇ + T₃₈₈ + ... + T₉₁₉.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609654 + ... + 609850.

Almost surely, 2^120121144 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 120121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136964520).

120121144 is an abundant number, since it is smaller than the sum of its proper divisors (153807896).

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

120121144 is a wasteful number, since it uses less digits than its factorization.

120121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 120121144 is about 10959.9791970605. The cubic root of 120121144 is about 493.4083405958.

Adding to 120121144 its reverse (441121021), we get a palindrome (561242165).

The spelling of 120121144 in words is "one hundred twenty million, one hundred twenty-one thousand, one hundred forty-four".