12210220011000 has 256 divisors, whose sum is σ = 41610610828800. Its totient is φ = 2956387968000.

The previous prime is 12210220010977. The next prime is 12210220011013. The reversal of 12210220011000 is 11002201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26468319 + ... + 26925681.

It is an arithmetic number, because the mean of its divisors is an integer number (162541448550).

Almost surely, 2^{12210220011000} is an apocalyptic number.

12210220011000 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 12210220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805305414400).

12210220011000 is an abundant number, since it is smaller than the sum of its proper divisors (29400390817800).

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

12210220011000 is a wasteful number, since it uses less digits than its factorization.

12210220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458207 (or 458193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12210220011000 its reverse (11002201221), we get a palindrome (12221222212221).

It can be divided in two parts, 122102 and 20011000, that added together give a palindrome (20133102).

The spelling of 12210220011000 in words is "twelve trillion, two hundred ten billion, two hundred twenty million, eleven thousand".