123201216 has 112 divisors (see below), whose sum is σ = 366979200. Its totient is φ = 40525056.

The previous prime is 123201167. The next prime is 123201233. The reversal of 123201216 is 612102321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142995 + ... + 143853.

It is an arithmetic number, because the mean of its divisors is an integer number (3276600).

Almost surely, 2^123201216 is an apocalyptic number.

123201216 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 123201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183489600).

123201216 is an abundant number, since it is smaller than the sum of its proper divisors (243777984).

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

123201216 is an equidigital number, since it uses as much as digits as its factorization.

123201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123201216 is about 11099.6043172719. The cubic root of 123201216 is about 497.5900240278.

Adding to 123201216 its reverse (612102321), we get a palindrome (735303537).

The spelling of 123201216 in words is "one hundred twenty-three million, two hundred one thousand, two hundred sixteen".