120081744 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 37029888.

The previous prime is 120081719. The next prime is 120081749. The reversal of 120081744 is 447180021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120081749) 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 31 ways as a sum of consecutive naturals, for example, 609454 + ... + 609650.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^120081744 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 120081744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

120081744 is an abundant number, since it is smaller than the sum of its proper divisors (251144496).

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

120081744 is a wasteful number, since it uses less digits than its factorization.

120081744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 120081744 is about 10958.1816009774. The cubic root of 120081744 is about 493.3543883555.

It can be divided in two parts, 1200 and 81744, that added together give a square (82944 = 288²).

The spelling of 120081744 in words is "one hundred twenty million, eighty-one thousand, seven hundred forty-four".