213443420124200 has 288 divisors, whose sum is σ = 591494225931000. Its totient is φ = 71379173376000.

The previous prime is 213443420124163. The next prime is 213443420124353. The reversal of 213443420124200 is 2421024344312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 36377231073316 + 177066189050884 = 6031354^2 + 13306622^2 .

It is a super-3 number, since 3×213443420124200³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1800406526 + ... + 1800525074.

Almost surely, 2^{213443420124200} is an apocalyptic number.

213443420124200 is a gapful number since it is divisible by the number (20) 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 213443420124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295747112965500).

213443420124200 is an abundant number, since it is smaller than the sum of its proper divisors (378050805806800).

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

213443420124200 is a wasteful number, since it uses less digits than its factorization.

213443420124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123101 (or 123085 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 213443420124200 its reverse (2421024344312), we get a palindrome (215864444468512).

The spelling of 213443420124200 in words is "two hundred thirteen trillion, four hundred forty-three billion, four hundred twenty million, one hundred twenty-four thousand, two hundred".