121795416064 has 351 divisors, whose sum is σ = 306494040681. Its totient is φ = 48244654080.

The previous prime is 121795416053. The next prime is 121795416139. The reversal of 121795416064 is 460614597121.

The square root of 121795416064 is 348992.

It is a perfect power (a square), and thus also a powerful number.

121795416064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5868785664 + 115926630400 = 76608^2 + 340480^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2970619884 + ... + 2970619924.

Almost surely, 2^121795416064 is an apocalyptic number.

121795416064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121795416064 is the 348992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121795416064

121795416064 is an abundant number, since it is smaller than the sum of its proper divisors (184698624617).

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

121795416064 is an frugal number, since it uses more digits than its factorization.

121795416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 121795416064 in words is "one hundred twenty-one billion, seven hundred ninety-five million, four hundred sixteen thousand, sixty-four".