12131311212000 has 288 divisors, whose sum is σ = 44217650602944. Its totient is φ = 3147583104000.

The previous prime is 12131311211983. The next prime is 12131311212019. The reversal of 12131311212000 is 21211313121.

12131311212000 is a `hidden beast` number, since 1 + 2 + 131 + 311 + 21 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3221796 + ... + 5885795.

It is an arithmetic number, because the mean of its divisors is an integer number (153533509038).

Almost surely, 2^{12131311212000} is an apocalyptic number.

12131311212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131311212000 is an abundant number, since it is smaller than the sum of its proper divisors (32086339390944).

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

12131311212000 is a wasteful number, since it uses less digits than its factorization.

12131311212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107659 (or 9107638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12131311212000 its reverse (21211313121), we get a palindrome (12152522525121).

The spelling of 12131311212000 in words is "twelve trillion, one hundred thirty-one billion, three hundred eleven million, two hundred twelve thousand".