123456216 has 64 divisors (see below), whose sum is σ = 339494400. Its totient is φ = 37173888.

The previous prime is 123456211. The next prime is 123456247. The reversal of 123456216 is 612654321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123456211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10455 + ... + 18873.

It is an arithmetic number, because the mean of its divisors is an integer number (5304600).

Almost surely, 2^123456216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123456216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169747200).

123456216 is an abundant number, since it is smaller than the sum of its proper divisors (216038184).

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

123456216 is a wasteful number, since it uses less digits than its factorization.

123456216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8484 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 123456216 is about 11111.0852755255. The cubic root of 123456216 is about 497.9330888635.

The spelling of 123456216 in words is "one hundred twenty-three million, four hundred fifty-six thousand, two hundred sixteen".