121672317312 has 768 divisors, whose sum is σ = 463535654400. Its totient is φ = 29721821184.

The previous prime is 121672317307. The next prime is 121672317313. The reversal of 121672317312 is 213713276121.

121672317312 is a `hidden beast` number, since 1 + 21 + 6 + 7 + 2 + 317 + 312 = 666.

121672317312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121672317313) 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, 119403139 + ... + 119404157.

It is an arithmetic number, because the mean of its divisors is an integer number (603562050).

Almost surely, 2^121672317312 is an apocalyptic number.

121672317312 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 121672317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231767827200).

121672317312 is an abundant number, since it is smaller than the sum of its proper divisors (341863337088).

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

121672317312 is a wasteful number, since it uses less digits than its factorization.

121672317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1128 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 121672317312 in words is "one hundred twenty-one billion, six hundred seventy-two million, three hundred seventeen thousand, three hundred twelve".