2000001221220 has 384 divisors, whose sum is σ = 6171243240960. Its totient is φ = 481898004480.

The previous prime is 2000001221171. The next prime is 2000001221221. The reversal of 2000001221220 is 221221000002.

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 = 2000001221196 and 2000001221205.

It is not an unprimeable number, because it can be changed into a prime (2000001221221) 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 127 ways as a sum of consecutive naturals, for example, 925496940 + ... + 925499100.

It is an arithmetic number, because the mean of its divisors is an integer number (16070945940).

Almost surely, 2^{2000001221220} is an apocalyptic number.

2000001221220 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 2000001221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085621620480).

2000001221220 is an abundant number, since it is smaller than the sum of its proper divisors (4171242019740).

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

2000001221220 is a wasteful number, since it uses less digits than its factorization.

2000001221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2541 counting only the distinct ones).

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

Adding to 2000001221220 its reverse (221221000002), we get a palindrome (2221222221222).

The spelling of 2000001221220 in words is "two trillion, one million, two hundred twenty-one thousand, two hundred twenty".