121847701248 has 720 divisors, whose sum is σ = 461819201536. Its totient is φ = 31084093440.

The previous prime is 121847701247. The next prime is 121847701307. The reversal of 121847701248 is 842107748121.

121847701248 is a `hidden beast` number, since 121 + 8 + 477 + 0 + 12 + 48 = 666.

121847701248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121847701247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58495215 + ... + 58497297.

Almost surely, 2^121847701248 is an apocalyptic number.

121847701248 is a gapful number since it is divisible by the number (18) 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 121847701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230909600768).

121847701248 is an abundant number, since it is smaller than the sum of its proper divisors (339971500288).

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

121847701248 is a wasteful number, since it uses less digits than its factorization.

121847701248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 121847701248 in words is "one hundred twenty-one billion, eight hundred forty-seven million, seven hundred one thousand, two hundred forty-eight".