12102211121000 has 1024 divisors, whose sum is σ = 39265102356480. Its totient is φ = 3369600000000.

The previous prime is 12102211120981. The next prime is 12102211121017. The reversal of 12102211121000 is 12111220121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5376369875 + ... + 5376372125.

It is an arithmetic number, because the mean of its divisors is an integer number (38344826520).

Almost surely, 2^{12102211121000} is an apocalyptic number.

12102211121000 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 12102211121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19632551178240).

12102211121000 is an abundant number, since it is smaller than the sum of its proper divisors (27162891235480).

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

12102211121000 is a wasteful number, since it uses less digits than its factorization.

12102211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2461 counting only the distinct ones).

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

Adding to 12102211121000 its reverse (12111220121), we get a palindrome (12114322341121).

The spelling of 12102211121000 in words is "twelve trillion, one hundred two billion, two hundred eleven million, one hundred twenty-one thousand".