13222218240 has 960 divisors, whose sum is σ = 59290133760. Its totient is φ = 2642411520.

The previous prime is 13222218227. The next prime is 13222218241. The reversal of 13222218240 is 4281222231.

13222218240 is a `hidden beast` number, since 1 + 322 + 221 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (13222218241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51448192 + ... + 51448448.

It is an arithmetic number, because the mean of its divisors is an integer number (61760556).

Almost surely, 2^13222218240 is an apocalyptic number.

13222218240 is a gapful number since it is divisible by the number (10) 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 13222218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29645066880).

13222218240 is an abundant number, since it is smaller than the sum of its proper divisors (46067915520).

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

13222218240 is a wasteful number, since it uses less digits than its factorization.

13222218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

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

The spelling of 13222218240 in words is "thirteen billion, two hundred twenty-two million, two hundred eighteen thousand, two hundred forty".