12255600 has 120 divisors (see below), whose sum is σ = 44897920. Its totient is φ = 2799360.

The previous prime is 12255599. The next prime is 12255631. The reversal of 12255600 is 655221.

Added to its reverse (655221) it gives a triangular number (12910821 = T₅₀₈₁).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7671 + ... + 9129.

Almost surely, 2^12255600 is an apocalyptic number.

12255600 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 12255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448960).

12255600 is an abundant number, since it is smaller than the sum of its proper divisors (32642320).

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

12255600 is a wasteful number, since it uses less digits than its factorization.

12255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 12255600 is about 3500.7999085923. The cubic root of 12255600 is about 230.5569363852.

Adding to 12255600 its reverse (655221), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12255600 in words is "twelve million, two hundred fifty-five thousand, six hundred".