200212434121224 has 256 divisors, whose sum is σ = 607000442112000. Its totient is φ = 53756916295680.

The previous prime is 200212434121213. The next prime is 200212434121229. The reversal of 200212434121224 is 422121434212002.

It is a super-4 number, since 4×200212434121224⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200212434121191 and 200212434121200.

It is not an unprimeable number, because it can be changed into a prime (200212434121229) 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, 270704922 + ... + 271443510.

It is an arithmetic number, because the mean of its divisors is an integer number (2371095477000).

Almost surely, 2^{200212434121224} is an apocalyptic number.

200212434121224 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 200212434121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303500221056000).

200212434121224 is an abundant number, since it is smaller than the sum of its proper divisors (406788007990776).

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

200212434121224 is a wasteful number, since it uses less digits than its factorization.

200212434121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739308 (or 739304 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 200212434121224 its reverse (422121434212002), we get a palindrome (622333868333226).

The spelling of 200212434121224 in words is "two hundred trillion, two hundred twelve billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred twenty-four".