14212224000 has 792 divisors, whose sum is σ = 56217121272. Its totient is φ = 3450470400.

The previous prime is 14212223983. The next prime is 14212224007. The reversal of 14212224000 is 42221241.

14212224000 is a `hidden beast` number, since 1 + 42 + 1 + 222 + 400 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13560136704 + 652087296 = 116448^2 + 25536^2 .

It is a super-2 number, since 2×14212224000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212224007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194687964 + ... + 194688036.

Almost surely, 2^14212224000 is an apocalyptic number.

14212224000 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 14212224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108560636).

14212224000 is an abundant number, since it is smaller than the sum of its proper divisors (42004897272).

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

14212224000 is a wasteful number, since it uses less digits than its factorization.

14212224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14212224000 its reverse (42221241), we get a palindrome (14254445241).

The spelling of 14212224000 in words is "fourteen billion, two hundred twelve million, two hundred twenty-four thousand".