10212216552000 has 336 divisors, whose sum is σ = 36539856054000. Its totient is φ = 2722582732800.

The previous prime is 10212216551993. The next prime is 10212216552001. The reversal of 10212216552000 is 25561221201.

10212216552000 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 1 + 655 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3906251827776 + 6305964724224 = 1976424^2 + 2511168^2 .

It is not an unprimeable number, because it can be changed into a prime (10212216552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334712746 + ... + 334743254.

Almost surely, 2^{10212216552000} is an apocalyptic number.

10212216552000 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 10212216552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269928027000).

10212216552000 is an abundant number, since it is smaller than the sum of its proper divisors (26327639502000).

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

10212216552000 is a wasteful number, since it uses less digits than its factorization.

10212216552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35191 (or 35168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10212216552000 its reverse (25561221201), we get a palindrome (10237777773201).

The spelling of 10212216552000 in words is "ten trillion, two hundred twelve billion, two hundred sixteen million, five hundred fifty-two thousand".