1123292400 has 120 divisors (see below), whose sum is σ = 3754819200. Its totient is φ = 286513920.

The previous prime is 1123292383. The next prime is 1123292419. The reversal of 1123292400 is 42923211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 7251 + ... + 47949.

It is an arithmetic number, because the mean of its divisors is an integer number (31290160).

Almost surely, 2^1123292400 is an apocalyptic number.

1123292400 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 1123292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877409600).

1123292400 is an abundant number, since it is smaller than the sum of its proper divisors (2631526800).

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

1123292400 is a wasteful number, since it uses less digits than its factorization.

1123292400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40743 (or 40732 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1123292400 is about 33515.5545978282. The cubic root of 1123292400 is about 1039.5154300767.

The spelling of 1123292400 in words is "one billion, one hundred twenty-three million, two hundred ninety-two thousand, four hundred".