212230001100000 has 576 divisors, whose sum is σ = 775758375161280. Its totient is φ = 50439782400000.

The previous prime is 212230001099939. The next prime is 212230001100011. The reversal of 212230001100000 is 1100032212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 112161760 + ... + 114038240.

It is an arithmetic number, because the mean of its divisors is an integer number (1346802734655).

Almost surely, 2^{212230001100000} is an apocalyptic number.

212230001100000 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 212230001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387879187580640).

212230001100000 is an abundant number, since it is smaller than the sum of its proper divisors (563528374061280).

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

212230001100000 is a wasteful number, since it uses less digits than its factorization.

212230001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876561 (or 1876533 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212230001100000 its reverse (1100032212), we get a palindrome (212231101132212).

The spelling of 212230001100000 in words is "two hundred twelve trillion, two hundred thirty billion, one million, one hundred thousand".