12132121343100 has 288 divisors, whose sum is σ = 38541104211456. Its totient is φ = 2922136089600.

The previous prime is 12132121343087. The next prime is 12132121343129. The reversal of 12132121343100 is 134312123121.

It is a super-2 number, since 2×12132121343100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483011742 + ... + 483036858.

It is an arithmetic number, because the mean of its divisors is an integer number (133823278512).

Almost surely, 2^{12132121343100} is an apocalyptic number.

12132121343100 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 12132121343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270552105728).

12132121343100 is an abundant number, since it is smaller than the sum of its proper divisors (26408982868356).

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

12132121343100 is a wasteful number, since it uses less digits than its factorization.

12132121343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26085 (or 26078 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12132121343100 its reverse (134312123121), we get a palindrome (12266433466221).

The spelling of 12132121343100 in words is "twelve trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred forty-three thousand, one hundred".