12213122201000 has 512 divisors, whose sum is σ = 34842850099200. Its totient is φ = 3911518310400.

The previous prime is 12213122200999. The next prime is 12213122201009. The reversal of 12213122201000 is 10222131221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12213122201000.

It is not an unprimeable number, because it can be changed into a prime (12213122201009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11235622457 + ... + 11235623543.

It is an arithmetic number, because the mean of its divisors is an integer number (68052441600).

Almost surely, 2^{12213122201000} is an apocalyptic number.

12213122201000 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 12213122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17421425049600).

12213122201000 is an abundant number, since it is smaller than the sum of its proper divisors (22629727898200).

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

12213122201000 is a wasteful number, since it uses less digits than its factorization.

12213122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12213122201000 its reverse (10222131221), we get a palindrome (12223344332221).

The spelling of 12213122201000 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-two million, two hundred one thousand".