1252000 has 48 divisors (see below), whose sum is σ = 3085992. Its totient is φ = 499200.

The previous prime is 1251983. The next prime is 1252021. The reversal of 1252000 is 2521.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 1192464 = 244^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3844 + ... + 4156.

2^1252000 is an apocalyptic number.

1252000 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 1252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542996).

1252000 is an abundant number, since it is smaller than the sum of its proper divisors (1833992).

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

1252000 is an equidigital number, since it uses as much as digits as its factorization.

1252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1252000 is about 1118.9280584559. The cubic root of 1252000 is about 107.7791554797.

Adding to 1252000 its reverse (2521), we get a palindrome (1254521).

It can be divided in two parts, 125 and 2000, that multiplied together give a square (250000 = 500²).

The spelling of 1252000 in words is "one million, two hundred fifty-two thousand".