120640800 has 288 divisors, whose sum is σ = 461970432. Its totient is φ = 26772480.

The previous prime is 120640777. The next prime is 120640801. The reversal of 120640800 is 8046021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120640801) by changing a digit.

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, 722317 + ... + 722483.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^120640800 is an apocalyptic number.

120640800 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 120640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

120640800 is an abundant number, since it is smaller than the sum of its proper divisors (341329632).

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

120640800 is a wasteful number, since it uses less digits than its factorization.

120640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 120640800 is about 10983.6605919884. The cubic root of 120640800 is about 494.1188281951.

Adding to 120640800 its reverse (8046021), we get a palindrome (128686821).

The spelling of 120640800 in words is "one hundred twenty million, six hundred forty thousand, eight hundred".