216112600 has 96 divisors (see below), whose sum is σ = 572106240. Its totient is φ = 75152000.

The previous prime is 216112591. The next prime is 216112621. The reversal of 216112600 is 6211612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48465 + ... + 52735.

It is an arithmetic number, because the mean of its divisors is an integer number (5959440).

Almost surely, 2^216112600 is an apocalyptic number.

216112600 is a gapful number since it is divisible by the number (20) 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 216112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286053120).

216112600 is an abundant number, since it is smaller than the sum of its proper divisors (355993640).

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

216112600 is a wasteful number, since it uses less digits than its factorization.

216112600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 216112600 is about 14700.7686873850. The cubic root of 216112600 is about 600.1042411478.

The spelling of 216112600 in words is "two hundred sixteen million, one hundred twelve thousand, six hundred".