212211120000 has 640 divisors, whose sum is σ = 793509995520. Its totient is φ = 49766400000.

The previous prime is 212211119977. The next prime is 212211120001. The reversal of 212211120000 is 21112212.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81838704 + ... + 81841296.

It is an arithmetic number, because the mean of its divisors is an integer number (1239859368).

Almost surely, 2^212211120000 is an apocalyptic number.

212211120000 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 212211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396754997760).

212211120000 is an abundant number, since it is smaller than the sum of its proper divisors (581298875520).

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

212211120000 is a wasteful number, since it uses less digits than its factorization.

212211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212211120000 its reverse (21112212), we get a palindrome (212232232212).

The spelling of 212211120000 in words is "two hundred twelve billion, two hundred eleven million, one hundred twenty thousand".