121916816112 has 240 divisors, whose sum is σ = 394984719360. Its totient is φ = 32118879744.

The previous prime is 121916816111. The next prime is 121916816137. The reversal of 121916816112 is 211618619121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121916816111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40328233 + ... + 40331255.

It is an arithmetic number, because the mean of its divisors is an integer number (1645769664).

Almost surely, 2^121916816112 is an apocalyptic number.

121916816112 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 121916816112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197492359680).

121916816112 is an abundant number, since it is smaller than the sum of its proper divisors (273067903248).

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

121916816112 is a wasteful number, since it uses less digits than its factorization.

121916816112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4367 counting only the distinct ones).

The product of its digits is 10368, while the sum is 39.

The spelling of 121916816112 in words is "one hundred twenty-one billion, nine hundred sixteen million, eight hundred sixteen thousand, one hundred twelve".