122985260976384 has 729 divisors, whose sum is σ = 378882660017043. Its totient is φ = 39840498238464.

The previous prime is 122985260976377. The next prime is 122985260976401. The reversal of 122985260976384 is 483679062589221.

The square root of 122985260976384 is 11089872.

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

122985260976384 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 8 + 5 + 2 + 609 + 7 + 6 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 618016386717 + ... + 618016386915.

It is a 1-persistent number, because it is pandigital, but 2⋅122985260976384 = 245970521952768 is not.

Almost surely, 2^{122985260976384} is an apocalyptic number.

122985260976384 is the 11089872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122985260976384

122985260976384 is an abundant number, since it is smaller than the sum of its proper divisors (255897399040659).

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

122985260976384 is an frugal number, since it uses more digits than its factorization.

122985260976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 122985260976384 in words is "one hundred twenty-two trillion, nine hundred eighty-five billion, two hundred sixty million, nine hundred seventy-six thousand, three hundred eighty-four".