121871070720000 has 3640 divisors, whose sum is σ = 550418734124160. Its totient is φ = 26336378880000.

The previous prime is 121871070719989. The next prime is 121871070720023. The reversal of 121871070720000 is 27070178121.

121871070720000 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 248209919755 + ... + 248209920245.

Almost surely, 2^{121871070720000} is an apocalyptic number.

121871070720000 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 121871070720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275209367062080).

121871070720000 is an abundant number, since it is smaller than the sum of its proper divisors (428547663404160).

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

121871070720000 is an frugal number, since it uses more digits than its factorization.

121871070720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 121871070720000 in words is "one hundred twenty-one trillion, eight hundred seventy-one billion, seventy million, seven hundred twenty thousand".