121020333312 has 144 divisors (see below), whose sum is σ = 341793853632. Its totient is φ = 37882920960.

The previous prime is 121020333293. The next prime is 121020333319. The reversal of 121020333312 is 213333020121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020333319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6008763 + ... + 6028869.

It is an arithmetic number, because the mean of its divisors is an integer number (2373568428).

Almost surely, 2^121020333312 is an apocalyptic number.

121020333312 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 121020333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170896926816).

121020333312 is an abundant number, since it is smaller than the sum of its proper divisors (220773520320).

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

121020333312 is a wasteful number, since it uses less digits than its factorization.

121020333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20604 (or 20590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 121020333312 its reverse (213333020121), we get a palindrome (334353353433).

The spelling of 121020333312 in words is "one hundred twenty-one billion, twenty million, three hundred thirty-three thousand, three hundred twelve".