1120132003200 has 576 divisors, whose sum is σ = 4301825112000. Its totient is φ = 255431823360.

The previous prime is 1120132003171. The next prime is 1120132003313. The reversal of 1120132003200 is 23002310211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1120132003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219674251 + ... + 219679349.

It is an arithmetic number, because the mean of its divisors is an integer number (7468446375).

Almost surely, 2^{1120132003200} is an apocalyptic number.

1120132003200 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 1120132003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150912556000).

1120132003200 is an abundant number, since it is smaller than the sum of its proper divisors (3181693108800).

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

1120132003200 is a wasteful number, since it uses less digits than its factorization.

1120132003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1120132003200 its reverse (23002310211), we get a palindrome (1143134313411).

The spelling of 1120132003200 in words is "one trillion, one hundred twenty billion, one hundred thirty-two million, three thousand, two hundred".