120801744 has 240 divisors, whose sum is σ = 411640320. Its totient is φ = 32348160.

The previous prime is 120801739. The next prime is 120801767. The reversal of 120801744 is 447108021.

It is a super-2 number, since 2×120801744² = 29186122706883072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529097 + ... + 1529175.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^120801744 is an apocalyptic number.

120801744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120801744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

120801744 is an abundant number, since it is smaller than the sum of its proper divisors (290838576).

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

120801744 is a wasteful number, since it uses less digits than its factorization.

120801744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

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

The square root of 120801744 is about 10990.9846692642. The cubic root of 120801744 is about 494.3384612505.

Adding to 120801744 its reverse (447108021), we get a palindrome (567909765).

It can be divided in two parts, 12080 and 1744, that added together give a cube (13824 = 24³).

The spelling of 120801744 in words is "one hundred twenty million, eight hundred one thousand, seven hundred forty-four".