123973065216 has 1920 divisors, whose sum is σ = 540285419520. Its totient is φ = 27072921600.

The previous prime is 123973065197. The next prime is 123973065217. The reversal of 123973065216 is 612560379321.

123973065216 is a `hidden beast` number, since 1 + 2 + 3 + 97 + 30 + 6 + 521 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (123973065217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3999131121 + ... + 3999131151.

It is an arithmetic number, because the mean of its divisors is an integer number (281398656).

Almost surely, 2^123973065216 is an apocalyptic number.

123973065216 is a gapful number since it is divisible by the number (16) 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 123973065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270142709760).

123973065216 is an abundant number, since it is smaller than the sum of its proper divisors (416312354304).

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

123973065216 is a wasteful number, since it uses less digits than its factorization.

123973065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 123973065216 in words is "one hundred twenty-three billion, nine hundred seventy-three million, sixty-five thousand, two hundred sixteen".