120520550400 has 288 divisors, whose sum is σ = 399330378720. Its totient is φ = 32065781760.

The previous prime is 120520550399. The next prime is 120520550417. The reversal of 120520550400 is 4055025021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 120882702 + ... + 120883698.

It is an arithmetic number, because the mean of its divisors is an integer number (1386563815).

Almost surely, 2^120520550400 is an apocalyptic number.

120520550400 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 120520550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199665189360).

120520550400 is an abundant number, since it is smaller than the sum of its proper divisors (278809828320).

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

120520550400 is an equidigital number, since it uses as much as digits as its factorization.

120520550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 120520550400 its reverse (4055025021), we get a palindrome (124575575421).

The spelling of 120520550400 in words is "one hundred twenty billion, five hundred twenty million, five hundred fifty thousand, four hundred".