12061800 has 72 divisors (see below), whose sum is σ = 40513590. Its totient is φ = 3216000.

The previous prime is 12061769. The next prime is 12061807. The reversal of 12061800 is 816021.

It can be written as a sum of positive squares in 3 ways, for example, as 8398404 + 3663396 = 2898^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12061807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1551 + ... + 5150.

Almost surely, 2^12061800 is an apocalyptic number.

12061800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12061800 is an abundant number, since it is smaller than the sum of its proper divisors (28451790).

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

12061800 is a wasteful number, since it uses less digits than its factorization.

12061800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12061800 is about 3473.0102216953. The cubic root of 12061800 is about 229.3351943092.

Adding to 12061800 its reverse (816021), we get a palindrome (12877821).

The spelling of 12061800 in words is "twelve million, sixty-one thousand, eight hundred".