121117306637040 has 640 divisors, whose sum is σ = 469765742592000. Its totient is φ = 25195037257728.

The previous prime is 121117306637039. The next prime is 121117306637053. The reversal of 121117306637040 is 40736603711121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 121117306636983 and 121117306637001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92653101 + ... + 93951219.

It is an arithmetic number, because the mean of its divisors is an integer number (734008972800).

Almost surely, 2^{121117306637040} is an apocalyptic number.

121117306637040 is a gapful number since it is divisible by the number (10) 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 121117306637040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234882871296000).

121117306637040 is an abundant number, since it is smaller than the sum of its proper divisors (348648435954960).

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

121117306637040 is a wasteful number, since it uses less digits than its factorization.

121117306637040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298277 (or 1298271 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 121117306637040 in words is "one hundred twenty-one trillion, one hundred seventeen billion, three hundred six million, six hundred thirty-seven thousand, forty".