12221003232000 has 864 divisors, whose sum is σ = 45169183725120. Its totient is φ = 3171532800000.

The previous prime is 12221003231953. The next prime is 12221003232047. The reversal of 12221003232000 is 23230012221.

12221003232000 is a `hidden beast` number, since 1 + 222 + 100 + 323 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12221003231953) and next prime (12221003232047).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1716188440 + ... + 1716195560.

It is an arithmetic number, because the mean of its divisors is an integer number (52279147830).

Almost surely, 2^{12221003232000} is an apocalyptic number.

12221003232000 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 12221003232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584591862560).

12221003232000 is an abundant number, since it is smaller than the sum of its proper divisors (32948180493120).

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

12221003232000 is a wasteful number, since it uses less digits than its factorization.

12221003232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12221003232000 its reverse (23230012221), we get a palindrome (12244233244221).

The spelling of 12221003232000 in words is "twelve trillion, two hundred twenty-one billion, three million, two hundred thirty-two thousand".