1120132123440 has 320 divisors, whose sum is σ = 3821920381440. Its totient is φ = 269131898880.

The previous prime is 1120132123417. The next prime is 1120132123441. The reversal of 1120132123440 is 443212310211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1120132123440.

It is not an unprimeable number, because it can be changed into a prime (1120132123441) 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 63 ways as a sum of consecutive naturals, for example, 147907494 + ... + 147915066.

It is an arithmetic number, because the mean of its divisors is an integer number (11943501192).

Almost surely, 2^{1120132123440} is an apocalyptic number.

1120132123440 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 1120132123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910960190720).

1120132123440 is an abundant number, since it is smaller than the sum of its proper divisors (2701788258000).

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

1120132123440 is a wasteful number, since it uses less digits than its factorization.

1120132123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1120132123440 its reverse (443212310211), we get a palindrome (1563344433651).

The spelling of 1120132123440 in words is "one trillion, one hundred twenty billion, one hundred thirty-two million, one hundred twenty-three thousand, four hundred forty".