1123491600 has 720 divisors, whose sum is σ = 5100834240. Its totient is φ = 232243200.

The previous prime is 1123491587. The next prime is 1123491601. The reversal of 1123491600 is 61943211.

1123491600 is a `hidden beast` number, since 1 + 12 + 3 + 49 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1123491601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5821104 + ... + 5821296.

It is an arithmetic number, because the mean of its divisors is an integer number (7084492).

Almost surely, 2^1123491600 is an apocalyptic number.

1123491600 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 1123491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550417120).

1123491600 is an abundant number, since it is smaller than the sum of its proper divisors (3977342640).

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

1123491600 is a wasteful number, since it uses less digits than its factorization.

1123491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1123491600 is about 33518.5262205843. The cubic root of 1123491600 is about 1039.5768742250.

The spelling of 1123491600 in words is "one billion, one hundred twenty-three million, four hundred ninety-one thousand, six hundred".