12210131133312 has 512 divisors, whose sum is σ = 38709857387520. Its totient is φ = 3337501999104.

The previous prime is 12210131133247. The next prime is 12210131133337. The reversal of 12210131133312 is 21333113101221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4637344348 + ... + 4637346980.

It is an arithmetic number, because the mean of its divisors is an integer number (75605190210).

Almost surely, 2^{12210131133312} is an apocalyptic number.

12210131133312 is a gapful number since it is divisible by the number (12) 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 12210131133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19354928693760).

12210131133312 is an abundant number, since it is smaller than the sum of its proper divisors (26499726254208).

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

12210131133312 is a wasteful number, since it uses less digits than its factorization.

12210131133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12210131133312 its reverse (21333113101221), we get a palindrome (33543244234533).

The spelling of 12210131133312 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".