121995306888000 has 896 divisors, whose sum is σ = 497634405166080. Its totient is φ = 25643859148800.

The previous prime is 121995306887989. The next prime is 121995306888001. The reversal of 121995306888000 is 888603599121.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121995306888001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587392174 + ... + 587599826.

It is an arithmetic number, because the mean of its divisors is an integer number (555395541480).

Almost surely, 2^{121995306888000} is an apocalyptic number.

121995306888000 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 121995306888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248817202583040).

121995306888000 is an abundant number, since it is smaller than the sum of its proper divisors (375639098278080).

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

121995306888000 is a wasteful number, since it uses less digits than its factorization.

121995306888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207972 (or 207952 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 121995306888000 in words is "one hundred twenty-one trillion, nine hundred ninety-five billion, three hundred six million, eight hundred eighty-eight thousand".