1111121440 has 96 divisors (see below), whose sum is σ = 3084008256. Its totient is φ = 372956160.

The previous prime is 1111121423. The next prime is 1111121441. The reversal of 1111121440 is 441211111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1111121441) 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, 1402 + ... + 47161.

It is an arithmetic number, because the mean of its divisors is an integer number (32125086).

Almost surely, 2^1111121440 is an apocalyptic number.

1111121440 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 1111121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542004128).

1111121440 is an abundant number, since it is smaller than the sum of its proper divisors (1972886816).

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

1111121440 is a wasteful number, since it uses less digits than its factorization.

1111121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48602 (or 48594 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 1111121440 is about 33333.4882663066. The cubic root of 1111121440 is about 1035.7473780673.

Adding to 1111121440 its reverse (441211111), we get a palindrome (1552332551).

The spelling of 1111121440 in words is "one billion, one hundred eleven million, one hundred twenty-one thousand, four hundred forty".