12013216000 has 72 divisors (see below), whose sum is σ = 29926502424. Its totient is φ = 4805273600.

The previous prime is 12013215989. The next prime is 12013216037. The reversal of 12013216000 is 61231021.

It can be written as a sum of positive squares in 4 ways, for example, as 3246264576 + 8766951424 = 56976^2 + 93632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 155707 + ... + 219706.

It is an arithmetic number, because the mean of its divisors is an integer number (415645867).

Almost surely, 2^12013216000 is an apocalyptic number.

12013216000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013216000 is an abundant number, since it is smaller than the sum of its proper divisors (17913286424).

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

12013216000 is an frugal number, since it uses more digits than its factorization.

12013216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375444 (or 375420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12013216000 its reverse (61231021), we get a palindrome (12074447021).

The spelling of 12013216000 in words is "twelve billion, thirteen million, two hundred sixteen thousand".