1200221331120 has 180 divisors, whose sum is σ = 4688823980880. Its totient is φ = 274336296192.

The previous prime is 1200221331047. The next prime is 1200221331163. The reversal of 1200221331120 is 211331220021.

1200221331120 is a `hidden beast` number, since 120 + 0 + 2 + 213 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200221331093 and 1200221331102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16974660 + ... + 17045219.

It is an arithmetic number, because the mean of its divisors is an integer number (26049022116).

Almost surely, 2^{1200221331120} is an apocalyptic number.

1200221331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200221331120 is an abundant number, since it is smaller than the sum of its proper divisors (3488602649760).

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

1200221331120 is a wasteful number, since it uses less digits than its factorization.

1200221331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34019912 (or 34019896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1200221331120 its reverse (211331220021), we get a palindrome (1411552551141).

The spelling of 1200221331120 in words is "one trillion, two hundred billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".