121875342336 has 660 divisors, whose sum is σ = 413201360880. Its totient is φ = 35483443200.

The previous prime is 121875342331. The next prime is 121875342361. The reversal of 121875342336 is 633243578121.

121875342336 is a `hidden beast` number, since 1 + 2 + 1 + 87 + 534 + 2 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121875342291 and 121875342300.

It is not an unprimeable number, because it can be changed into a prime (121875342331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 876800955 + ... + 876801093.

It is an arithmetic number, because the mean of its divisors is an integer number (626062668).

Almost surely, 2^121875342336 is an apocalyptic number.

121875342336 is a gapful number since it is divisible by the number (16) 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 121875342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206600680440).

121875342336 is an abundant number, since it is smaller than the sum of its proper divisors (291326018544).

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

121875342336 is a wasteful number, since it uses less digits than its factorization.

121875342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 186 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 121875342336 in words is "one hundred twenty-one billion, eight hundred seventy-five million, three hundred forty-two thousand, three hundred thirty-six".