220220001001000 has 768 divisors, whose sum is σ = 698766902046720. Its totient is φ = 63080035200000.

The previous prime is 220220001000983. The next prime is 220220001001019. The reversal of 220220001001000 is 100100022022.

It is a super-5 number, since 5×220220001001000⁵ (a number of 73 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2953913725 + ... + 2953988275.

It is an arithmetic number, because the mean of its divisors is an integer number (909852737040).

Almost surely, 2^{220220001001000} is an apocalyptic number.

220220001001000 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 220220001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349383451023360).

220220001001000 is an abundant number, since it is smaller than the sum of its proper divisors (478546901045720).

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

220220001001000 is a wasteful number, since it uses less digits than its factorization.

220220001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74843 (or 74816 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220220001001000 its reverse (100100022022), we get a palindrome (220320101023022).

The spelling of 220220001001000 in words is "two hundred twenty trillion, two hundred twenty billion, one million, one thousand".