1052123000 has 64 divisors (see below), whose sum is σ = 2470478400. Its totient is φ = 419395200.

The previous prime is 1052122997. The next prime is 1052123029. The reversal of 1052123000 is 3212501.

It is a happy number.

It is a super-2 number, since 2×1052123000² = 2213925614258000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315341 + ... + 318659.

It is an arithmetic number, because the mean of its divisors is an integer number (38601225).

Almost surely, 2^1052123000 is an apocalyptic number.

1052123000 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 1052123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235239200).

1052123000 is an abundant number, since it is smaller than the sum of its proper divisors (1418355400).

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

1052123000 is a wasteful number, since it uses less digits than its factorization.

1052123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1052123000 is about 32436.4455512622. The cubic root of 1052123000 is about 1017.0809145297.

Adding to 1052123000 its reverse (3212501), we get a palindrome (1055335501).

The spelling of 1052123000 in words is "one billion, fifty-two million, one hundred twenty-three thousand".