12131216000 has 64 divisors (see below), whose sum is σ = 30161275560. Its totient is φ = 4852480000.

The previous prime is 12131215981. The next prime is 12131216017. The reversal of 12131216000 is 61213121.

It can be written as a sum of positive squares in 4 ways, for example, as 2731525696 + 9399690304 = 52264^2 + 96952^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12131216000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363101 + ... + 395100.

Almost surely, 2^12131216000 is an apocalyptic number.

12131216000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131216000 is an abundant number, since it is smaller than the sum of its proper divisors (18030059560).

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

12131216000 is an frugal number, since it uses more digits than its factorization.

12131216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758230 (or 758208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12131216000 its reverse (61213121), we get a palindrome (12192429121).

It can be divided in two parts, 1213121 and 6000, that added together give a palindrome (1219121).

The spelling of 12131216000 in words is "twelve billion, one hundred thirty-one million, two hundred sixteen thousand".