1121249040 has 160 divisors (see below), whose sum is σ = 3647980800. Its totient is φ = 284497920.

The previous prime is 1121249027. The next prime is 1121249053. The reversal of 1121249040 is 409421211.

It is an interprime number because it is at equal distance from previous prime (1121249027) and next prime (1121249053).

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 1121249040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493026 + ... + 495294.

It is an arithmetic number, because the mean of its divisors is an integer number (22799880).

Almost surely, 2^1121249040 is an apocalyptic number.

1121249040 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 1121249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823990400).

1121249040 is an abundant number, since it is smaller than the sum of its proper divisors (2526731760).

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

1121249040 is a wasteful number, since it uses less digits than its factorization.

1121249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1121249040 is about 33485.0569657571. The cubic root of 1121249040 is about 1038.8847265231.

The spelling of 1121249040 in words is "one billion, one hundred twenty-one million, two hundred forty-nine thousand, forty".