1121709600 has 288 divisors, whose sum is σ = 4426591680. Its totient is φ = 271872000.

The previous prime is 1121709599. The next prime is 1121709613. The reversal of 1121709600 is 69071211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235240 + ... + 239960.

It is an arithmetic number, because the mean of its divisors is an integer number (15370110).

Almost surely, 2^1121709600 is an apocalyptic number.

1121709600 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 1121709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213295840).

1121709600 is an abundant number, since it is smaller than the sum of its proper divisors (3304882080).

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

1121709600 is a wasteful number, since it uses less digits than its factorization.

1121709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1121709600 is about 33491.9333571533. The cubic root of 1121709600 is about 1039.0269498343.

The spelling of 1121709600 in words is "one billion, one hundred twenty-one million, seven hundred nine thousand, six hundred".