1110121131440 has 80 divisors (see below), whose sum is σ = 2607913812000. Its totient is φ = 439444002816.

The previous prime is 1110121131433. The next prime is 1110121131443. The reversal of 1110121131440 is 441311210111.

It is a tau number, because it is divible by the number of its divisors (80).

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 (1110121131443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3321086 + ... + 3640034.

It is an arithmetic number, because the mean of its divisors is an integer number (32598922650).

Almost surely, 2^{1110121131440} is an apocalyptic number.

1110121131440 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 1110121131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303956906000).

1110121131440 is an abundant number, since it is smaller than the sum of its proper divisors (1497792680560).

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

1110121131440 is a wasteful number, since it uses less digits than its factorization.

1110121131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319414 (or 319408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 1110121131440 its reverse (441311210111), we get a palindrome (1551432341551).

The spelling of 1110121131440 in words is "one trillion, one hundred ten billion, one hundred twenty-one million, one hundred thirty-one thousand, four hundred forty".