12211131312000 has 1536 divisors, whose sum is σ = 46530238285440. Its totient is φ = 3065167872000.

The previous prime is 12211131311983. The next prime is 12211131312001. The reversal of 12211131312000 is 21313111221.

12211131312000 is a `hidden beast` number, since 1 + 221 + 1 + 131 + 312 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12211131312000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211131312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23437871740 + ... + 23437872260.

Almost surely, 2^{12211131312000} is an apocalyptic number.

12211131312000 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 12211131312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265119142720).

12211131312000 is an abundant number, since it is smaller than the sum of its proper divisors (34319106973440).

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

12211131312000 is a wasteful number, since it uses less digits than its factorization.

12211131312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 704 counting only the distinct ones).

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

Adding to 12211131312000 its reverse (21313111221), we get a palindrome (12232444423221).

The spelling of 12211131312000 in words is "twelve trillion, two hundred eleven billion, one hundred thirty-one million, three hundred twelve thousand".