120814848 has 288 divisors, whose sum is σ = 447390720. Its totient is φ = 31242240.

The previous prime is 120814829. The next prime is 120814849. The reversal of 120814848 is 848418021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120814849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 532111 + ... + 532337.

It is an arithmetic number, because the mean of its divisors is an integer number (1553440).

Almost surely, 2^120814848 is an apocalyptic number.

120814848 is a gapful number since it is divisible by the number (18) 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 120814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223695360).

120814848 is an abundant number, since it is smaller than the sum of its proper divisors (326575872).

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

120814848 is a wasteful number, since it uses less digits than its factorization.

120814848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 120814848 is about 10991.5807780319. The cubic root of 120814848 is about 494.3563351012.

The spelling of 120814848 in words is "one hundred twenty million, eight hundred fourteen thousand, eight hundred forty-eight".