2001212221120 has 224 divisors, whose sum is σ = 5472527308416. Its totient is φ = 682814668800.

The previous prime is 2001212221061. The next prime is 2001212221121. The reversal of 2001212221120 is 211222121002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2001212221094 and 2001212221103.

It is not an unprimeable number, because it can be changed into a prime (2001212221121) 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 31 ways as a sum of consecutive naturals, for example, 578216190 + ... + 578219650.

It is an arithmetic number, because the mean of its divisors is an integer number (24430925484).

Almost surely, 2^{2001212221120} is an apocalyptic number.

2001212221120 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 2001212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736263654208).

2001212221120 is an abundant number, since it is smaller than the sum of its proper divisors (3471315087296).

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

2001212221120 is a wasteful number, since it uses less digits than its factorization.

2001212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2001212221120 its reverse (211222121002), we get a palindrome (2212434342122).

The spelling of 2001212221120 in words is "two trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".