1152024000 has 224 divisors, whose sum is σ = 3971275776. Its totient is φ = 293708800.

The previous prime is 1152023993. The next prime is 1152024001. The reversal of 1152024000 is 4202511.

1152024000 is a nontrivial binomial coefficient, being equal to C(48001, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152024001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550957 + ... + 553043.

Almost surely, 2^1152024000 is an apocalyptic number.

1152024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1152024000 is the 48000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985637888).

1152024000 is an abundant number, since it is smaller than the sum of its proper divisors (2819251776).

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

1152024000 is a wasteful number, since it uses less digits than its factorization.

1152024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1152024000 is about 33941.4790485035. The cubic root of 1152024000 is about 1048.3038374702.

Adding to 1152024000 its reverse (4202511), we get a palindrome (1156226511).

The spelling of 1152024000 in words is "one billion, one hundred fifty-two million, twenty-four thousand".