252123000 has 128 divisors (see below), whose sum is σ = 812298240. Its totient is φ = 65040000.

The previous prime is 252122977. The next prime is 252123019. The reversal of 252123000 is 321252.

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, 91645 + ... + 94355.

It is an arithmetic number, because the mean of its divisors is an integer number (6346080).

Almost surely, 2^252123000 is an apocalyptic number.

252123000 is a gapful number since it is divisible by the number (20) 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 252123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406149120).

252123000 is an abundant number, since it is smaller than the sum of its proper divisors (560175240).

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

252123000 is a wasteful number, since it uses less digits than its factorization.

252123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 252123000 is about 15878.3815296144. The cubic root of 252123000 is about 631.7387092183.

Adding to 252123000 its reverse (321252), we get a palindrome (252444252).

The spelling of 252123000 in words is "two hundred fifty-two million, one hundred twenty-three thousand".