1121097600 has 576 divisors, whose sum is σ = 4695949440. Its totient is φ = 249384960.

The previous prime is 1121097599. The next prime is 1121097617. The reversal of 1121097600 is 67901211.

It is a tau number, because it is divible by the number of its divisors (576).

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, 13507159 + ... + 13507241.

It is an arithmetic number, because the mean of its divisors is an integer number (8152690).

Almost surely, 2^1121097600 is an apocalyptic number.

1121097600 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 1121097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347974720).

1121097600 is an abundant number, since it is smaller than the sum of its proper divisors (3574851840).

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

1121097600 is a wasteful number, since it uses less digits than its factorization.

1121097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

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

The square root of 1121097600 is about 33482.7955822091. The cubic root of 1121097600 is about 1038.8379525591.

Adding to 1121097600 its reverse (67901211), we get a palindrome (1188998811).

The spelling of 1121097600 in words is "one billion, one hundred twenty-one million, ninety-seven thousand, six hundred".