120945484800 has 792 divisors, whose sum is σ = 516803961120. Its totient is φ = 27636940800.

The previous prime is 120945484769. The next prime is 120945484801. The reversal of 120945484800 is 8484549021.

120945484800 is a `hidden beast` number, since 1 + 2 + 0 + 94 + 5 + 484 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120945484801) 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 71 ways as a sum of consecutive naturals, for example, 33867015 + ... + 33870585.

Almost surely, 2^120945484800 is an apocalyptic number.

120945484800 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 120945484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258401980560).

120945484800 is an abundant number, since it is smaller than the sum of its proper divisors (395858476320).

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

120945484800 is a wasteful number, since it uses less digits than its factorization.

120945484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 120945484800 in words is "one hundred twenty billion, nine hundred forty-five million, four hundred eighty-four thousand, eight hundred".