1121142132200 has 48 divisors (see below), whose sum is σ = 2642363100780. Its totient is φ = 442313602560.

The previous prime is 1121142132151. The next prime is 1121142132203. The reversal of 1121142132200 is 22312411211.

It can be written as a sum of positive squares in 6 ways, for example, as 141236162596 + 979905969604 = 375814^2 + 989902^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1121142132203) 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 11 ways as a sum of consecutive naturals, for example, 38380679 + ... + 38409878.

Almost surely, 2^{1121142132200} is an apocalyptic number.

1121142132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121142132200 is an abundant number, since it is smaller than the sum of its proper divisors (1521220968580).

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

1121142132200 is a wasteful number, since it uses less digits than its factorization.

1121142132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76790646 (or 76790637 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1121142132200 its reverse (22312411211), we get a palindrome (1143454543411).

The spelling of 1121142132200 in words is "one trillion, one hundred twenty-one billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred".