121730583744 has 1344 divisors, whose sum is σ = 482030714880. Its totient is φ = 28449792000.

The previous prime is 121730583743. The next prime is 121730583761. The reversal of 121730583744 is 447385037121.

121730583744 is a `hidden beast` number, since 1 + 21 + 7 + 3 + 0 + 583 + 7 + 44 = 666.

121730583744 is digitally balanced in base 3, 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 (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 121730583744.

It is not an unprimeable number, because it can be changed into a prime (121730583743) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1714515229 + ... + 1714515299.

Almost surely, 2^121730583744 is an apocalyptic number.

121730583744 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 121730583744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241015357440).

121730583744 is an abundant number, since it is smaller than the sum of its proper divisors (360300131136).

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

121730583744 is a wasteful number, since it uses less digits than its factorization.

121730583744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 121730583744 in words is "one hundred twenty-one billion, seven hundred thirty million, five hundred eighty-three thousand, seven hundred forty-four".