220120211012000 has 192 divisors, whose sum is σ = 582455995430400. Its totient is φ = 81272654668800.

The previous prime is 220120211011963. The next prime is 220120211012041. The reversal of 220120211012000 is 210112021022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3257194211 + ... + 3257261789.

It is an arithmetic number, because the mean of its divisors is an integer number (3033624976200).

Almost surely, 2^{220120211012000} is an apocalyptic number.

220120211012000 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 220120211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291227997715200).

220120211012000 is an abundant number, since it is smaller than the sum of its proper divisors (362335784418400).

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

220120211012000 is a wasteful number, since it uses less digits than its factorization.

220120211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130256 (or 130238 counting only the distinct ones).

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

Adding to 220120211012000 its reverse (210112021022), we get a palindrome (220330323033022).

The spelling of 220120211012000 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred eleven million, twelve thousand".