121760984735296 has 63 divisors (see below), whose sum is σ = 245083091435707. Its totient is φ = 60019930974080.

The previous prime is 121760984735191. The next prime is 121760984735339. The reversal of 121760984735296 is 692537489067121.

The square root of 121760984735296 is 11034536.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6267606735 + ... + 6267626161.

It is a 1-persistent number, because it is pandigital, but 2⋅121760984735296 = 243521969470592 is not.

Almost surely, 2^{121760984735296} is an apocalyptic number.

121760984735296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121760984735296 is the 11034536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121760984735296

121760984735296 is an abundant number, since it is smaller than the sum of its proper divisors (123322106700411).

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

121760984735296 is an frugal number, since it uses more digits than its factorization.

121760984735296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39008 (or 19500 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 70.

The spelling of 121760984735296 in words is "one hundred twenty-one trillion, seven hundred sixty billion, nine hundred eighty-four million, seven hundred thirty-five thousand, two hundred ninety-six".