1001124000 has 144 divisors (see below), whose sum is σ = 3553116840. Its totient is φ = 266956800.

The previous prime is 1001123989. The next prime is 1001124011. The reversal of 1001124000 is 4211001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001123989) and next prime (1001124011).

It can be written as a sum of positive squares in 4 ways, for example, as 395373456 + 605750544 = 19884^2 + 24612^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22096 + ... + 49904.

Almost surely, 2^1001124000 is an apocalyptic number.

1001124000 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 1001124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776558420).

1001124000 is an abundant number, since it is smaller than the sum of its proper divisors (2551992840).

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

1001124000 is a wasteful number, since it uses less digits than its factorization.

1001124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27840 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001124000 is about 31640.5436110064. The cubic root of 1001124000 is about 1000.3745263791.

Adding to 1001124000 its reverse (4211001), we get a palindrome (1005335001).

The spelling of 1001124000 in words is "one billion, one million, one hundred twenty-four thousand".