1121665600 has 168 divisors, whose sum is σ = 3045537216. Its totient is φ = 403200000.

The previous prime is 1121665583. The next prime is 1121665603. The reversal of 1121665600 is 65661211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121665603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1777285 + ... + 1777915.

Almost surely, 2^1121665600 is an apocalyptic number.

1121665600 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 1121665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522768608).

1121665600 is an abundant number, since it is smaller than the sum of its proper divisors (1923871616).

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

1121665600 is a wasteful number, since it uses less digits than its factorization.

1121665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1121665600 is about 33491.2764761214. The cubic root of 1121665600 is about 1039.0133640887.

The spelling of 1121665600 in words is "one billion, one hundred twenty-one million, six hundred sixty-five thousand, six hundred".