1123372800 has 540 divisors, whose sum is σ = 4554224136. Its totient is φ = 270950400.

The previous prime is 1123372787. The next prime is 1123372813. The reversal of 1123372800 is 82733211.

It is an interprime number because it is at equal distance from previous prime (1123372787) and next prime (1123372813).

It is a tau number, because it is divible by the number of its divisors (540).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702302 + ... + 5702498.

Almost surely, 2^1123372800 is an apocalyptic number.

1123372800 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 1123372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277112068).

1123372800 is an abundant number, since it is smaller than the sum of its proper divisors (3430851336).

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

1123372800 is a wasteful number, since it uses less digits than its factorization.

1123372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1123372800 is about 33516.7540194453. The cubic root of 1123372800 is about 1039.5402306975.

The spelling of 1123372800 in words is "one billion, one hundred twenty-three million, three hundred seventy-two thousand, eight hundred".