120723220800 has 2016 divisors, whose sum is σ = 570034765440. Its totient is φ = 24617779200.

The previous prime is 120723220799. The next prime is 120723220817. The reversal of 120723220800 is 8022327021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 1128254347 + ... + 1128254453.

It is an arithmetic number, because the mean of its divisors is an integer number (282755340).

Almost surely, 2^120723220800 is an apocalyptic number.

120723220800 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 120723220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285017382720).

120723220800 is an abundant number, since it is smaller than the sum of its proper divisors (449311544640).

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

120723220800 is a wasteful number, since it uses less digits than its factorization.

120723220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 120723220800 its reverse (8022327021), we get a palindrome (128745547821).

The spelling of 120723220800 in words is "one hundred twenty billion, seven hundred twenty-three million, two hundred twenty thousand, eight hundred".