220220211220002 has 288 divisors, whose sum is σ = 583031895473664. Its totient is φ = 59784069945600.

The previous prime is 220220211220001. The next prime is 220220211220081. The reversal of 220220211220002 is 200022112022022.

220220211220002 is a `hidden beast` number, since 220 + 220 + 2 + 1 + 1 + 220 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220220211220001) 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 143 ways as a sum of consecutive naturals, for example, 14621877552 + ... + 14621892612.

It is an arithmetic number, because the mean of its divisors is an integer number (2024416303728).

Almost surely, 2^{220220211220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220211220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291515947736832).

220220211220002 is an abundant number, since it is smaller than the sum of its proper divisors (362811684253662).

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

220220211220002 is a wasteful number, since it uses less digits than its factorization.

220220211220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19854 (or 19844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220220211220002 its reverse (200022112022022), we get a palindrome (420242323242024).

The spelling of 220220211220002 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty thousand, two".