220411011212000 has 384 divisors, whose sum is σ = 646605914572800. Its totient is φ = 72196280217600.

The previous prime is 220411011211969. The next prime is 220411011212003. The reversal of 220411011212000 is 212110114022.

It is a self number, because there is not a number n which added to its sum of digits gives 220411011212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220411011212003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 532381076 + ... + 532794924.

It is an arithmetic number, because the mean of its divisors is an integer number (1683869569200).

Almost surely, 2^{220411011212000} is an apocalyptic number.

220411011212000 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 220411011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323302957286400).

220411011212000 is an abundant number, since it is smaller than the sum of its proper divisors (426194903360800).

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

220411011212000 is a wasteful number, since it uses less digits than its factorization.

220411011212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414731 (or 414713 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220411011212000 its reverse (212110114022), we get a palindrome (220623121326022).

The spelling of 220411011212000 in words is "two hundred twenty trillion, four hundred eleven billion, eleven million, two hundred twelve thousand".