12221313000 has 256 divisors, whose sum is σ = 43227475200. Its totient is φ = 2849817600.

The previous prime is 12221312969. The next prime is 12221313007. The reversal of 12221313000 is 31312221.

It is a super-3 number, since 3×12221313000³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12221313007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732754 + ... + 749246.

It is an arithmetic number, because the mean of its divisors is an integer number (168857325).

Almost surely, 2^12221313000 is an apocalyptic number.

12221313000 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 12221313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21613737600).

12221313000 is an abundant number, since it is smaller than the sum of its proper divisors (31006162200).

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

12221313000 is a wasteful number, since it uses less digits than its factorization.

12221313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16535 counting only the distinct ones).

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

Adding to 12221313000 its reverse (31312221), we get a palindrome (12252625221).

It can be divided in two parts, 12221 and 313000, that added together give a triangular number (325221 = T₈₀₆).

The spelling of 12221313000 in words is "twelve billion, two hundred twenty-one million, three hundred thirteen thousand".