120520043174400 has 240 divisors, whose sum is σ = 399076161636768. Its totient is φ = 32062334976000.

The previous prime is 120520043174359. The next prime is 120520043174423. The reversal of 120520043174400 is 4471340025021.

120520043174400 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 (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12438915 + ... + 19893885.

Almost surely, 2^{120520043174400} is an apocalyptic number.

120520043174400 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 120520043174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199538080818384).

120520043174400 is an abundant number, since it is smaller than the sum of its proper divisors (278556118462368).

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

120520043174400 is an equidigital number, since it uses as much as digits as its factorization.

120520043174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455423 (or 7455402 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 120520043174400 its reverse (4471340025021), we get a palindrome (124991383199421).

The spelling of 120520043174400 in words is "one hundred twenty trillion, five hundred twenty billion, forty-three million, one hundred seventy-four thousand, four hundred".