120219840 has 336 divisors, whose sum is σ = 471525600. Its totient is φ = 28035072.

The previous prime is 120219823. The next prime is 120219863. The reversal of 120219840 is 48912021.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6327351 + ... + 6327369.

It is an arithmetic number, because the mean of its divisors is an integer number (1403350).

Almost surely, 2^120219840 is an apocalyptic number.

120219840 is a gapful number since it is divisible by the number (10) 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 120219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235762800).

120219840 is an abundant number, since it is smaller than the sum of its proper divisors (351305760).

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

120219840 is a wasteful number, since it uses less digits than its factorization.

120219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120219840 is about 10964.4808358627. The cubic root of 120219840 is about 493.5434378175.

The spelling of 120219840 in words is "one hundred twenty million, two hundred nineteen thousand, eight hundred forty".