12261300 has 72 divisors (see below), whose sum is σ = 37039296. Its totient is φ = 3125760.

The previous prime is 12261283. The next prime is 12261311. The reversal of 12261300 is 316221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12261300.

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, 6012 + ... + 7788.

Almost surely, 2^12261300 is an apocalyptic number.

12261300 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 12261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519648).

12261300 is an abundant number, since it is smaller than the sum of its proper divisors (24777996).

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

12261300 is a wasteful number, since it uses less digits than its factorization.

12261300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12261300 is about 3501.6139136118. The cubic root of 12261300 is about 230.5926743568.

Adding to 12261300 its reverse (316221), we get a palindrome (12577521).

It can be divided in two parts, 12261 and 300, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 12261300 in words is "twelve million, two hundred sixty-one thousand, three hundred".