216121222224 has 320 divisors, whose sum is σ = 667939392000. Its totient is φ = 66663088128.

The previous prime is 216121222223. The next prime is 216121222253. The reversal of 216121222224 is 422222121612.

216121222224 is a `hidden beast` number, since 2 + 1 + 612 + 1 + 2 + 2 + 22 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216121222223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321130752 + ... + 321131424.

It is an arithmetic number, because the mean of its divisors is an integer number (2087310600).

Almost surely, 2^216121222224 is an apocalyptic number.

216121222224 is a gapful number since it is divisible by the number (24) 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 216121222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333969696000).

216121222224 is an abundant number, since it is smaller than the sum of its proper divisors (451818169776).

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

216121222224 is a wasteful number, since it uses less digits than its factorization.

216121222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 216121222224 its reverse (422222121612), we get a palindrome (638343343836).

The spelling of 216121222224 in words is "two hundred sixteen billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty-four".