121031301133312 has 88 divisors (see below), whose sum is σ = 250295213298600. Its totient is φ = 58427060944896.

The previous prime is 121031301133289. The next prime is 121031301133313. The reversal of 121031301133312 is 213331103130121.

It can be written as a sum of positive squares in 4 ways, for example, as 6213732765696 + 114817568367616 = 2492736^2 + 10715296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121031301133313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685895114 + ... + 1685966902.

Almost surely, 2^{121031301133312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121031301133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125147606649300).

121031301133312 is an abundant number, since it is smaller than the sum of its proper divisors (129263912165288).

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

121031301133312 is an equidigital number, since it uses as much as digits as its factorization.

121031301133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128611 (or 128593 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 121031301133312 its reverse (213331103130121), we get a palindrome (334362404263433).

The spelling of 121031301133312 in words is "one hundred twenty-one trillion, thirty-one billion, three hundred one million, one hundred thirty-three thousand, three hundred twelve".