1132121121120 has 288 divisors, whose sum is σ = 4397822118144. Its totient is φ = 262520755200.

The previous prime is 1132121121119. The next prime is 1132121121167. The reversal of 1132121121120 is 211211212311.

It is a happy number.

1132121121120 is a `hidden beast` number, since 11 + 321 + 211 + 2 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132121121093 and 1132121121102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189426 + ... + 1918065.

It is an arithmetic number, because the mean of its divisors is an integer number (15270215688).

Almost surely, 2^{1132121121120} is an apocalyptic number.

1132121121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132121121120 is an abundant number, since it is smaller than the sum of its proper divisors (3265700997024).

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

1132121121120 is a wasteful number, since it uses less digits than its factorization.

1132121121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107546 (or 3107535 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1132121121120 its reverse (211211212311), we get a palindrome (1343332333431).

The spelling of 1132121121120 in words is "one trillion, one hundred thirty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".