120221200221200 has 480 divisors, whose sum is σ = 322479278817696. Its totient is φ = 42782851399680.

The previous prime is 120221200221179. The next prime is 120221200221217. The reversal of 120221200221200 is 2122002122021.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 119805371278096 + 415828943104 = 10945564^2 + 644848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8831345594 + ... + 8831359206.

Almost surely, 2^{120221200221200} is an apocalyptic number.

120221200221200 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 120221200221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239639408848).

120221200221200 is an abundant number, since it is smaller than the sum of its proper divisors (202258078596496).

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

120221200221200 is a wasteful number, since it uses less digits than its factorization.

120221200221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120221200221200 its reverse (2122002122021), we get a palindrome (122343202343221).

The spelling of 120221200221200 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, two hundred".