121606095744 has 576 divisors, whose sum is σ = 428317147440. Its totient is φ = 34237292544.

The previous prime is 121606095731. The next prime is 121606095749. The reversal of 121606095744 is 447590606121.

121606095744 is a `hidden beast` number, since 1 + 2 + 16 + 0 + 60 + 9 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 121606095744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121606095749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111258462 + ... + 111259554.

Almost surely, 2^121606095744 is an apocalyptic number.

121606095744 is a gapful number since it is divisible by the number (14) 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 121606095744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214158573720).

121606095744 is an abundant number, since it is smaller than the sum of its proper divisors (306711051696).

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

121606095744 is an equidigital number, since it uses as much as digits as its factorization.

121606095744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 121606095744 in words is "one hundred twenty-one billion, six hundred six million, ninety-five thousand, seven hundred forty-four".