12252000 has 96 divisors (see below), whose sum is σ = 40176864. Its totient is φ = 3264000.

The previous prime is 12251983. The next prime is 12252029. The reversal of 12252000 is 25221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12252000² = 300223008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11490 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (418509).

Almost surely, 2^12252000 is an apocalyptic number.

12252000 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 12252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

12252000 is an abundant number, since it is smaller than the sum of its proper divisors (27924864).

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

12252000 is a wasteful number, since it uses less digits than its factorization.

12252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12252000 is about 3500.2857026249. The cubic root of 12252000 is about 230.5343593251.

Adding to 12252000 its reverse (25221), we get a palindrome (12277221).

The spelling of 12252000 in words is "twelve million, two hundred fifty-two thousand".