121211133303312 has 240 divisors, whose sum is σ = 377612864771520. Its totient is φ = 37209590286336.

The previous prime is 121211133303287. The next prime is 121211133303313. The reversal of 121211133303312 is 213303331112121.

121211133303312 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 1 + 13 + 330 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121211133303313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29695323 + ... + 33529605.

It is an arithmetic number, because the mean of its divisors is an integer number (1573386936548).

Almost surely, 2^{121211133303312} is an apocalyptic number.

121211133303312 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 121211133303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188806432385760).

121211133303312 is an abundant number, since it is smaller than the sum of its proper divisors (256401731468208).

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

121211133303312 is a wasteful number, since it uses less digits than its factorization.

121211133303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834759 (or 3834734 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 121211133303312 its reverse (213303331112121), we get a palindrome (334514464415433).

The spelling of 121211133303312 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred thirty-three million, three hundred three thousand, three hundred twelve".