123129216 has 96 divisors (see below), whose sum is σ = 404960400. Its totient is φ = 35177472.

The previous prime is 123129199. The next prime is 123129221. The reversal of 123129216 is 612921321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123129216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 15698.

Almost surely, 2^123129216 is an apocalyptic number.

123129216 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 123129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202480200).

123129216 is an abundant number, since it is smaller than the sum of its proper divisors (281831184).

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

123129216 is a wasteful number, since it uses less digits than its factorization.

123129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15281 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 123129216 is about 11096.3604844111. The cubic root of 123129216 is about 497.4930729741.

It can be divided in two parts, 12312 and 9216, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 123129216 in words is "one hundred twenty-three million, one hundred twenty-nine thousand, two hundred sixteen".