1121100040 has 64 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 427375872.

The previous prime is 1121099983. The next prime is 1121100083. The reversal of 1121100040 is 400011211.

1121100040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267481 + ... + 271639.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^1121100040 is an apocalyptic number.

1121100040 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 1121100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

1121100040 is an abundant number, since it is smaller than the sum of its proper divisors (1520666360).

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

1121100040 is a wasteful number, since it uses less digits than its factorization.

1121100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1121100040 is about 33482.8320188123. The cubic root of 1121100040 is about 1038.8387062142.

Adding to 1121100040 its reverse (400011211), we get a palindrome (1521111251).

The spelling of 1121100040 in words is "one billion, one hundred twenty-one million, one hundred thousand, forty".