12251800 has 48 divisors (see below), whose sum is σ = 31080600. Its totient is φ = 4454400.

The previous prime is 12251797. The next prime is 12251803. The reversal of 12251800 is 815221.

It is an interprime number because it is at equal distance from previous prime (12251797) and next prime (12251803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 4984.

Almost surely, 2^12251800 is an apocalyptic number.

12251800 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 12251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540300).

12251800 is an abundant number, since it is smaller than the sum of its proper divisors (18828800).

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

12251800 is a wasteful number, since it uses less digits than its factorization.

12251800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12251800 is about 3500.2571334118. The cubic root of 12251800 is about 230.5331049143.

It can be divided in two parts, 1225 and 1800, that added together give a square (3025 = 55²).

The spelling of 12251800 in words is "twelve million, two hundred fifty-one thousand, eight hundred".