212111200220000 has 480 divisors, whose sum is σ = 561614031982080. Its totient is φ = 78579452160000.

The previous prime is 212111200219987. The next prime is 212111200220009. The reversal of 212111200220000 is 22002111212.

It is a super-2 number, since 2×212111200220000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111200220009) 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, 16913413730 + ... + 16913426270.

It is an arithmetic number, because the mean of its divisors is an integer number (1170029233296).

Almost surely, 2^{212111200220000} is an apocalyptic number.

212111200220000 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 212111200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280807015991040).

212111200220000 is an abundant number, since it is smaller than the sum of its proper divisors (349502831762080).

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

212111200220000 is a wasteful number, since it uses less digits than its factorization.

212111200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13584 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212111200220000 its reverse (22002111212), we get a palindrome (212133202331212).

The spelling of 212111200220000 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred million, two hundred twenty thousand".