1123848000 has 672 divisors, whose sum is σ = 4637592960. Its totient is φ = 266112000.

The previous prime is 1123847983. The next prime is 1123848013. The reversal of 1123848000 is 8483211.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26135979 + ... + 26136021.

It is an arithmetic number, because the mean of its divisors is an integer number (6901180).

Almost surely, 2^1123848000 is an apocalyptic number.

1123848000 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 1123848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318796480).

1123848000 is an abundant number, since it is smaller than the sum of its proper divisors (3513744960).

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

1123848000 is a wasteful number, since it uses less digits than its factorization.

1123848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1123848000 is about 33523.8422618888. The cubic root of 1123848000 is about 1039.6867893108.

The spelling of 1123848000 in words is "one billion, one hundred twenty-three million, eight hundred forty-eight thousand".