120139036800 has 384 divisors, whose sum is σ = 429991526400. Its totient is φ = 29370470400.

The previous prime is 120139036783. The next prime is 120139036811. The reversal of 120139036800 is 8630931021.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5643777 + ... + 5665023.

It is an arithmetic number, because the mean of its divisors is an integer number (1119769600).

Almost surely, 2^120139036800 is an apocalyptic number.

120139036800 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 120139036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214995763200).

120139036800 is an abundant number, since it is smaller than the sum of its proper divisors (309852489600).

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

120139036800 is a wasteful number, since it uses less digits than its factorization.

120139036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21324 (or 21307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

Adding to 120139036800 its reverse (8630931021), we get a palindrome (128769967821).

The spelling of 120139036800 in words is "one hundred twenty billion, one hundred thirty-nine million, thirty-six thousand, eight hundred".