1120201120 has 96 divisors (see below), whose sum is σ = 2743372800. Its totient is φ = 431800320.

The previous prime is 1120201091. The next prime is 1120201171. The reversal of 1120201120 is 211020211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1120201097 and 1120201106.

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, 2226789 + ... + 2227291.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^1120201120 is an apocalyptic number.

1120201120 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 1120201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

1120201120 is an abundant number, since it is smaller than the sum of its proper divisors (1623171680).

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

1120201120 is a wasteful number, since it uses less digits than its factorization.

1120201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1120201120 is about 33469.4057312047. The cubic root of 1120201120 is about 1038.5609782220.

Adding to 1120201120 its reverse (211020211), we get a palindrome (1331221331).

The spelling of 1120201120 in words is "one billion, one hundred twenty million, two hundred one thousand, one hundred twenty".