12122211321000 has 384 divisors, whose sum is σ = 45905964399360. Its totient is φ = 2859292224000.

The previous prime is 12122211320977. The next prime is 12122211321113. The reversal of 12122211321000 is 12311222121.

12122211321000 is a `hidden beast` number, since 1 + 212 + 221 + 132 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2008317 + ... + 5317683.

It is an arithmetic number, because the mean of its divisors is an integer number (119546782290).

Almost surely, 2^{12122211321000} is an apocalyptic number.

12122211321000 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 12122211321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952982199680).

12122211321000 is an abundant number, since it is smaller than the sum of its proper divisors (33783753078360).

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

12122211321000 is a wasteful number, since it uses less digits than its factorization.

12122211321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309442 (or 3309425 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12122211321000 its reverse (12311222121), we get a palindrome (12134522543121).

The spelling of 12122211321000 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, three hundred twenty-one thousand".