1120201121120 has 96 divisors (see below), whose sum is σ = 2717462442240. Its totient is φ = 436208924160.

The previous prime is 1120201121113. The next prime is 1120201121159. The reversal of 1120201121120 is 211211020211.

It is a junction number, because it is equal to n+sod(n) for n = 1120201121095 and 1120201121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396275 + ... + 1548365.

It is an arithmetic number, because the mean of its divisors is an integer number (28306900440).

Almost surely, 2^{1120201121120} is an apocalyptic number.

1120201121120 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 1120201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358731221120).

1120201121120 is an abundant number, since it is smaller than the sum of its proper divisors (1597261321120).

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

1120201121120 is a wasteful number, since it uses less digits than its factorization.

1120201121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152268 (or 1152260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1120201121120 its reverse (211211020211), we get a palindrome (1331412141331).

The spelling of 1120201121120 in words is "one trillion, one hundred twenty billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".