12133212223020 has 576 divisors, whose sum is σ = 43320904704000. Its totient is φ = 2518202179584.

The previous prime is 12133212223009. The next prime is 12133212223039. The reversal of 12133212223020 is 2032221233121.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2549527401 + ... + 2549532159.

It is an arithmetic number, because the mean of its divisors is an integer number (75209904000).

Almost surely, 2^{12133212223020} is an apocalyptic number.

12133212223020 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 12133212223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660452352000).

12133212223020 is an abundant number, since it is smaller than the sum of its proper divisors (31187692480980).

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

12133212223020 is a wasteful number, since it uses less digits than its factorization.

12133212223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12133212223020 its reverse (2032221233121), we get a palindrome (14165433456141).

The spelling of 12133212223020 in words is "twelve trillion, one hundred thirty-three billion, two hundred twelve million, two hundred twenty-three thousand, twenty".