1121608800 has 432 divisors, whose sum is σ = 4453027488. Its totient is φ = 263577600.

The previous prime is 1121608793. The next prime is 1121608819. The reversal of 1121608800 is 88061211.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2152540 + ... + 2153060.

It is an arithmetic number, because the mean of its divisors is an integer number (10307934).

Almost surely, 2^1121608800 is an apocalyptic number.

1121608800 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 1121608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226513744).

1121608800 is an abundant number, since it is smaller than the sum of its proper divisors (3331418688).

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

1121608800 is a wasteful number, since it uses less digits than its factorization.

1121608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1121608800 is about 33490.4284833742. The cubic root of 1121608800 is about 1038.9958256009.

The spelling of 1121608800 in words is "one billion, one hundred twenty-one million, six hundred eight thousand, eight hundred".