121020013312 has 72 divisors (see below), whose sum is σ = 263714754240. Its totient is φ = 54970106880.

The previous prime is 121020013271. The next prime is 121020013313. The reversal of 121020013312 is 213310020121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121020013313) 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 7 ways as a sum of consecutive naturals, for example, 4161639 + ... + 4190617.

It is an arithmetic number, because the mean of its divisors is an integer number (3662704920).

Almost surely, 2^121020013312 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 121020013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131857377120).

121020013312 is an abundant number, since it is smaller than the sum of its proper divisors (142694740928).

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

121020013312 is a wasteful number, since it uses less digits than its factorization.

121020013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30489 (or 30475 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121020013312 its reverse (213310020121), we get a palindrome (334330033433).

The spelling of 121020013312 in words is "one hundred twenty-one billion, twenty million, thirteen thousand, three hundred twelve".