11252000 has 96 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 4300800.

The previous prime is 11251979. The next prime is 11252023. The reversal of 11252000 is 25211.

It can be written as a sum of positive squares in 8 ways, for example, as 309136 + 10942864 = 556^2 + 3308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115952 + ... + 116048.

Almost surely, 2^11252000 is an apocalyptic number.

11252000 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 11252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

11252000 is an abundant number, since it is smaller than the sum of its proper divisors (17642320).

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

11252000 is an equidigital number, since it uses as much as digits as its factorization.

11252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 11252000 is about 3354.4000953971. The cubic root of 11252000 is about 224.0835147774.

Adding to 11252000 its reverse (25211), we get a palindrome (11277211).

It can be divided in two parts, 1125 and 2000, that multiplied together give a square (2250000 = 1500²).

The spelling of 11252000 in words is "eleven million, two hundred fifty-two thousand".