212011221110000 has 200 divisors, whose sum is σ = 558151891096800. Its totient is φ = 77521051008000.

The previous prime is 212011221109997. The next prime is 212011221110023. The reversal of 212011221110000 is 11122110212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5473226 + ... + 21306774.

It is an arithmetic number, because the mean of its divisors is an integer number (2790759455484).

Almost surely, 2^{212011221110000} is an apocalyptic number.

212011221110000 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 212011221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279075945548400).

212011221110000 is an abundant number, since it is smaller than the sum of its proper divisors (346140669986800).

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

212011221110000 is a wasteful number, since it uses less digits than its factorization.

212011221110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15833693 (or 15833672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011221110000 its reverse (11122110212), we get a palindrome (212022343220212).

The spelling of 212011221110000 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred ten thousand".