1120002201120 has 384 divisors, whose sum is σ = 3979036680192. Its totient is φ = 262420992000.

The previous prime is 1120002201103. The next prime is 1120002201127. The reversal of 1120002201120 is 211022000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120002201096 and 1120002201105.

It is not an unprimeable number, because it can be changed into a prime (1120002201127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29480377 + ... + 29518343.

It is an arithmetic number, because the mean of its divisors is an integer number (10362074688).

Almost surely, 2^{1120002201120} is an apocalyptic number.

1120002201120 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 1120002201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989518340096).

1120002201120 is an abundant number, since it is smaller than the sum of its proper divisors (2859034479072).

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

1120002201120 is a wasteful number, since it uses less digits than its factorization.

1120002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38184 (or 38176 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1120002201120 its reverse (211022000211), we get a palindrome (1331024201331).

The spelling of 1120002201120 in words is "one trillion, one hundred twenty billion, two million, two hundred one thousand, one hundred twenty".