123102959616 has 576 divisors, whose sum is σ = 456761410560. Its totient is φ = 31045386240.

The previous prime is 123102959599. The next prime is 123102959627. The reversal of 123102959616 is 616959201321.

123102959616 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 29 + 5 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38576581 + ... + 38579771.

It is an arithmetic number, because the mean of its divisors is an integer number (792988560).

Almost surely, 2^123102959616 is an apocalyptic number.

123102959616 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 123102959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228380705280).

123102959616 is an abundant number, since it is smaller than the sum of its proper divisors (333658450944).

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

123102959616 is a wasteful number, since it uses less digits than its factorization.

123102959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 123102959616 in words is "one hundred twenty-three billion, one hundred two million, nine hundred fifty-nine thousand, six hundred sixteen".