120180412800 has 576 divisors, whose sum is σ = 508267468800. Its totient is φ = 27468564480.

The previous prime is 120180412789. The next prime is 120180412817. The reversal of 120180412800 is 8214081021.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5432161 + ... + 5454239.

It is an arithmetic number, because the mean of its divisors is an integer number (882408800).

Almost surely, 2^120180412800 is an apocalyptic number.

120180412800 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 120180412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254133734400).

120180412800 is an abundant number, since it is smaller than the sum of its proper divisors (388087056000).

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

120180412800 is an equidigital number, since it uses as much as digits as its factorization.

120180412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22125 (or 22096 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 120180412800 its reverse (8214081021), we get a palindrome (128394493821).

The spelling of 120180412800 in words is "one hundred twenty billion, one hundred eighty million, four hundred twelve thousand, eight hundred".