120028132800 has 840 divisors, whose sum is σ = 471476033424. Its totient is φ = 29846568960.

The previous prime is 120028132771. The next prime is 120028132801. The reversal of 120028132800 is 8231820021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120028132801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 345902227 + ... + 345902573.

Almost surely, 2^120028132800 is an apocalyptic number.

120028132800 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 120028132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235738016712).

120028132800 is an abundant number, since it is smaller than the sum of its proper divisors (351447900624).

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

120028132800 is a wasteful number, since it uses less digits than its factorization.

120028132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 120028132800 its reverse (8231820021), we get a palindrome (128259952821).

The spelling of 120028132800 in words is "one hundred twenty billion, twenty-eight million, one hundred thirty-two thousand, eight hundred".