2001122000220 has 192 divisors, whose sum is σ = 6493750373376. Its totient is φ = 450964039680.

The previous prime is 2001122000219. The next prime is 2001122000221. The reversal of 2001122000220 is 220002211002.

It is an interprime number because it is at equal distance from previous prime (2001122000219) and next prime (2001122000221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001122000196 and 2001122000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001122000221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 93103675 + ... + 93125165.

It is an arithmetic number, because the mean of its divisors is an integer number (33821616528).

Almost surely, 2^{2001122000220} is an apocalyptic number.

2001122000220 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 2001122000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246875186688).

2001122000220 is an abundant number, since it is smaller than the sum of its proper divisors (4492628373156).

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

2001122000220 is a wasteful number, since it uses less digits than its factorization.

2001122000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24620 (or 24618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001122000220 its reverse (220002211002), we get a palindrome (2221124211222).

The spelling of 2001122000220 in words is "two trillion, one billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.