212515430400 has 1512 divisors, whose sum is σ = 958898759364. Its totient is φ = 44590694400.

The previous prime is 212515430389. The next prime is 212515430401. The reversal of 212515430400 is 4034515212.

212515430400 is a `hidden beast` number, since 2 + 1 + 251 + 5 + 4 + 3 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2472873984 + 210042556416 = 49728^2 + 458304^2 .

It is not an unprimeable number, because it can be changed into a prime (212515430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1174118310 + ... + 1174118490.

Almost surely, 2^212515430400 is an apocalyptic number.

212515430400 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 212515430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479449379682).

212515430400 is an abundant number, since it is smaller than the sum of its proper divisors (746383328964).

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

212515430400 is a wasteful number, since it uses less digits than its factorization.

212515430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 212515430400 its reverse (4034515212), we get a palindrome (216549945612).

The spelling of 212515430400 in words is "two hundred twelve billion, five hundred fifteen million, four hundred thirty thousand, four hundred".