2220201121208 has 64 divisors (see below), whose sum is σ = 4923455961600. Its totient is φ = 918362712960.

The previous prime is 2220201121207. The next prime is 2220201121231. The reversal of 2220201121208 is 8021211020222.

It is a happy number.

It is a super-3 number, since 3×2220201121208³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220201121207) 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 15 ways as a sum of consecutive naturals, for example, 4143653 + ... + 4648683.

It is an arithmetic number, because the mean of its divisors is an integer number (76928999400).

Almost surely, 2^{2220201121208} is an apocalyptic number.

2220201121208 is a gapful number since it is divisible by the number (28) 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 2220201121208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461727980800).

2220201121208 is an abundant number, since it is smaller than the sum of its proper divisors (2703254840392).

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

2220201121208 is a wasteful number, since it uses less digits than its factorization.

2220201121208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507780 (or 507776 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 2220201121208 in words is "two trillion, two hundred twenty billion, two hundred one million, one hundred twenty-one thousand, two hundred eight".