1201122001120 has 192 divisors, whose sum is σ = 3042166268736. Its totient is φ = 446558371840.

The previous prime is 1201122001117. The next prime is 1201122001129. The reversal of 1201122001120 is 211002211021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201122001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201122001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86361207 + ... + 86375113.

It is an arithmetic number, because the mean of its divisors is an integer number (15844615983).

Almost surely, 2^{1201122001120} is an apocalyptic number.

1201122001120 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 1201122001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521083134368).

1201122001120 is an abundant number, since it is smaller than the sum of its proper divisors (1841044267616).

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

1201122001120 is a wasteful number, since it uses less digits than its factorization.

1201122001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333 (or 14325 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201122001120 its reverse (211002211021), we get a palindrome (1412124212141).

The spelling of 1201122001120 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one thousand, one hundred twenty".