121112013568 has 288 divisors, whose sum is σ = 310041768960. Its totient is φ = 45937704960.

The previous prime is 121112013563. The next prime is 121112013593. The reversal of 121112013568 is 865310211121.

It is not an unprimeable number, because it can be changed into a prime (121112013563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61197603 + ... + 61199581.

It is an arithmetic number, because the mean of its divisors is an integer number (1076533920).

Almost surely, 2^121112013568 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 121112013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020884480).

121112013568 is an abundant number, since it is smaller than the sum of its proper divisors (188929755392).

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

121112013568 is a wasteful number, since it uses less digits than its factorization.

121112013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 121112013568 its reverse (865310211121), we get a palindrome (986422224689).

The spelling of 121112013568 in words is "one hundred twenty-one billion, one hundred twelve million, thirteen thousand, five hundred sixty-eight".