120681504 has 108 divisors (see below), whose sum is σ = 365704794. Its totient is φ = 37619712.

The previous prime is 120681503. The next prime is 120681527. The reversal of 120681504 is 405186021.

It can be written as a sum of positive squares in 3 ways, for example, as 97061904 + 23619600 = 9852^2 + 4860^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120681503) 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 17 ways as a sum of consecutive naturals, for example, 768594 + ... + 768750.

Almost surely, 2^120681504 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 120681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182852397).

120681504 is an abundant number, since it is smaller than the sum of its proper divisors (245023290).

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

120681504 is a wasteful number, since it uses less digits than its factorization.

120681504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120681504 is about 10985.5133698885. The cubic root of 120681504 is about 494.1743935628.

The spelling of 120681504 in words is "one hundred twenty million, six hundred eighty-one thousand, five hundred four".