121221120096 has 144 divisors (see below), whose sum is σ = 364198161600. Its totient is φ = 38183491584.

The previous prime is 121221120079. The next prime is 121221120101. The reversal of 121221120096 is 690021122121.

121221120096 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238140 + ... + 546948.

It is an arithmetic number, because the mean of its divisors is an integer number (2529153900).

Almost surely, 2^121221120096 is an apocalyptic number.

121221120096 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 121221120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182099080800).

121221120096 is an abundant number, since it is smaller than the sum of its proper divisors (242977041504).

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

121221120096 is a wasteful number, since it uses less digits than its factorization.

121221120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308901 (or 308890 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 121221120096 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, ninety-six".