212011011100000 has 288 divisors, whose sum is σ = 597659891193792. Its totient is φ = 72516729600000.

The previous prime is 212011011099967. The next prime is 212011011100013. The reversal of 212011011100000 is 1110110212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 212011011100000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294340294 + ... + 295059706.

It is an arithmetic number, because the mean of its divisors is an integer number (2075207955534).

Almost surely, 2^{212011011100000} is an apocalyptic number.

212011011100000 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 212011011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298829945596896).

212011011100000 is an abundant number, since it is smaller than the sum of its proper divisors (385648880093792).

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

212011011100000 is an frugal number, since it uses more digits than its factorization.

212011011100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719876 (or 719848 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212011011100000 its reverse (1110110212), we get a palindrome (212012121210212).

The spelling of 212011011100000 in words is "two hundred twelve trillion, eleven billion, eleven million, one hundred thousand".