12211333231020 has 384 divisors, whose sum is σ = 43547773796352. Its totient is φ = 2482740556800.

The previous prime is 12211333231001. The next prime is 12211333231037. The reversal of 12211333231020 is 2013233311221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1210116175 + ... + 1210126265.

It is an arithmetic number, because the mean of its divisors is an integer number (113405660928).

Almost surely, 2^{12211333231020} is an apocalyptic number.

12211333231020 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 12211333231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773886898176).

12211333231020 is an abundant number, since it is smaller than the sum of its proper divisors (31336440565332).

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

12211333231020 is a wasteful number, since it uses less digits than its factorization.

12211333231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15741 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12211333231020 its reverse (2013233311221), we get a palindrome (14224566542241).

The spelling of 12211333231020 in words is "twelve trillion, two hundred eleven billion, three hundred thirty-three million, two hundred thirty-one thousand, twenty".