120019120 has 80 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 43103232.

The previous prime is 120019117. The next prime is 120019127. The reversal of 120019120 is 21910021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120019094 and 120019103.

It is not an unprimeable number, because it can be changed into a prime (120019127) 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 15 ways as a sum of consecutive naturals, for example, 36921 + ... + 40039.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^120019120 is an apocalyptic number.

120019120 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 120019120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

120019120 is an abundant number, since it is smaller than the sum of its proper divisors (188711120).

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

120019120 is a wasteful number, since it uses less digits than its factorization.

120019120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 120019120 is about 10955.3238199516. The cubic root of 120019120 is about 493.2686101276.

Adding to 120019120 its reverse (21910021), we get a palindrome (141929141).

The spelling of 120019120 in words is "one hundred twenty million, nineteen thousand, one hundred twenty".