1052124000 has 192 divisors, whose sum is σ = 3528645120. Its totient is φ = 273907200.

The previous prime is 1052123987. The next prime is 1052124037. The reversal of 1052124000 is 4212501.

1052124000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052124000² = 2213929822752000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514981 + ... + 517019.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^1052124000 is an apocalyptic number.

1052124000 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 1052124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

1052124000 is an abundant number, since it is smaller than the sum of its proper divisors (2476521120).

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

1052124000 is a wasteful number, since it uses less digits than its factorization.

1052124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2092 counting only the distinct ones).

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

The square root of 1052124000 is about 32436.4609660179. The cubic root of 1052124000 is about 1017.0812367609.

Adding to 1052124000 its reverse (4212501), we get a palindrome (1056336501).

The spelling of 1052124000 in words is "one billion, fifty-two million, one hundred twenty-four thousand".