120183782400 has 990 divisors, whose sum is σ = 490182480480. Its totient is φ = 29074636800.

The previous prime is 120183782363. The next prime is 120183782413. The reversal of 120183782400 is 4287381021.

120183782400 is a `hidden beast` number, since 1 + 2 + 0 + 183 + 78 + 2 + 400 = 666.

120183782400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (990).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250905361 + ... + 250905839.

Almost surely, 2^120183782400 is an apocalyptic number.

120183782400 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 120183782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245091240240).

120183782400 is an abundant number, since it is smaller than the sum of its proper divisors (369998698080).

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

120183782400 is a wasteful number, since it uses less digits than its factorization.

120183782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 120183782400 in words is "one hundred twenty billion, one hundred eighty-three million, seven hundred eighty-two thousand, four hundred".