322212114144 has 144 divisors (see below), whose sum is σ = 931583697408. Its totient is φ = 105617039616.

The previous prime is 322212114143. The next prime is 322212114163. The reversal of 322212114144 is 441411212223.

322212114144 is a `hidden beast` number, since 3 + 2 + 221 + 21 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×322212114144² (a number of 24 digits) contains 22 as substring.

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 (322212114143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11312529 + ... + 11340975.

It is an arithmetic number, because the mean of its divisors is an integer number (6469331232).

Almost surely, 2^322212114144 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 322212114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465791848704).

322212114144 is an abundant number, since it is smaller than the sum of its proper divisors (609371583264).

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

322212114144 is a wasteful number, since it uses less digits than its factorization.

322212114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29117 (or 29106 counting only the distinct ones).

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

Adding to 322212114144 its reverse (441411212223), we get a palindrome (763623326367).

The spelling of 322212114144 in words is "three hundred twenty-two billion, two hundred twelve million, one hundred fourteen thousand, one hundred forty-four".