1121504000 has 144 divisors (see below), whose sum is σ = 2829599136. Its totient is φ = 442880000.

The previous prime is 1121503973. The next prime is 1121504017. The reversal of 1121504000 is 4051211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231827 + ... + 3232173.

It is an arithmetic number, because the mean of its divisors is an integer number (19649994).

Almost surely, 2^1121504000 is an apocalyptic number.

1121504000 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 1121504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414799568).

1121504000 is an abundant number, since it is smaller than the sum of its proper divisors (1708095136).

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

1121504000 is an equidigital number, since it uses as much as digits as its factorization.

1121504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1121504000 is about 33488.8638206793. The cubic root of 1121504000 is about 1038.9634643017.

Adding to 1121504000 its reverse (4051211), we get a palindrome (1125555211).

The spelling of 1121504000 in words is "one billion, one hundred twenty-one million, five hundred four thousand".