121000113312 has 144 divisors (see below), whose sum is σ = 349498652832. Its totient is φ = 36437829120.

The previous prime is 121000113307. The next prime is 121000113317. The reversal of 121000113312 is 213311000121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121000113307) and next prime (121000113317).

It is a junction number, because it is equal to n+sod(n) for n = 121000113291 and 121000113300.

It is not an unprimeable number, because it can be changed into a prime (121000113317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2734887 + ... + 2778777.

It is an arithmetic number, because the mean of its divisors is an integer number (2427073978).

Almost surely, 2^121000113312 is an apocalyptic number.

121000113312 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 121000113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174749326416).

121000113312 is an abundant number, since it is smaller than the sum of its proper divisors (228498539520).

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

121000113312 is a wasteful number, since it uses less digits than its factorization.

121000113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44011 (or 43956 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121000113312 its reverse (213311000121), we get a palindrome (334311113433).

The spelling of 121000113312 in words is "one hundred twenty-one billion, one hundred thirteen thousand, three hundred twelve".