121710822912 has 960 divisors, whose sum is σ = 443271628800. Its totient is φ = 32606945280.

The previous prime is 121710822911. The next prime is 121710822917. The reversal of 121710822912 is 219228017121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121710822911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1540643289 + ... + 1540643367.

It is an arithmetic number, because the mean of its divisors is an integer number (461741280).

Almost surely, 2^121710822912 is an apocalyptic number.

121710822912 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 121710822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221635814400).

121710822912 is an abundant number, since it is smaller than the sum of its proper divisors (321560805888).

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

121710822912 is an frugal number, since it uses more digits than its factorization.

121710822912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 121710822912 in words is "one hundred twenty-one billion, seven hundred ten million, eight hundred twenty-two thousand, nine hundred twelve".