212251035000000 has 896 divisors, whose sum is σ = 751016943016704. Its totient is φ = 52715520000000.

The previous prime is 212251034999989. The next prime is 212251035000029. The reversal of 212251035000000 is 530152212.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24734995710 + ... + 24735004290.

It is an arithmetic number, because the mean of its divisors is an integer number (838188552474).

Almost surely, 2^{212251035000000} is an apocalyptic number.

212251035000000 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 212251035000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375508471508352).

212251035000000 is an abundant number, since it is smaller than the sum of its proper divisors (538765908016704).

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

212251035000000 is an frugal number, since it uses more digits than its factorization.

212251035000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 212251035000000 its reverse (530152212), we get a palindrome (212251565152212).

The spelling of 212251035000000 in words is "two hundred twelve trillion, two hundred fifty-one billion, thirty-five million", and thus it is an aban number.