12122211101000 has 256 divisors, whose sum is σ = 38085786385920. Its totient is φ = 3487708800000.

The previous prime is 12122211100991. The next prime is 12122211101003. The reversal of 12122211101000 is 10111222121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12122211101003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5054051 + ... + 7056050.

It is an arithmetic number, because the mean of its divisors is an integer number (148772603070).

Almost surely, 2^{12122211101000} is an apocalyptic number.

12122211101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122211101000 is an abundant number, since it is smaller than the sum of its proper divisors (25963575284920).

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

12122211101000 is a wasteful number, since it uses less digits than its factorization.

12122211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110153 (or 12110139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122211101000 its reverse (10111222121), we get a palindrome (12132322323121).

The spelling of 12122211101000 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred one thousand".