120204020240 has 160 divisors (see below), whose sum is σ = 306250398720. Its totient is φ = 43680153600.

The previous prime is 120204020219. The next prime is 120204020243. The reversal of 120204020240 is 42020402021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (120204020243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17239955 + ... + 17246925.

It is an arithmetic number, because the mean of its divisors is an integer number (1914064992).

Almost surely, 2^120204020240 is an apocalyptic number.

120204020240 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 120204020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153125199360).

120204020240 is an abundant number, since it is smaller than the sum of its proper divisors (186046378480).

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

120204020240 is a wasteful number, since it uses less digits than its factorization.

120204020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 120204020240 its reverse (42020402021), we get a palindrome (162224422261).

The spelling of 120204020240 in words is "one hundred twenty billion, two hundred four million, twenty thousand, two hundred forty".