2001221012000 has 96 divisors (see below), whose sum is σ = 5619428680320. Its totient is φ = 686132908800.

The previous prime is 2001221011981. The next prime is 2001221012117. The reversal of 2001221012000 is 2101221002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35708090 + ... + 35764089.

It is an arithmetic number, because the mean of its divisors is an integer number (58535715420).

Almost surely, 2^{2001221012000} is an apocalyptic number.

2001221012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001221012000 is an abundant number, since it is smaller than the sum of its proper divisors (3618207668320).

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

2001221012000 is an equidigital number, since it uses as much as digits as its factorization.

2001221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71472211 (or 71472193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001221012000 its reverse (2101221002), we get a palindrome (2003322233002).

The spelling of 2001221012000 in words is "two trillion, one billion, two hundred twenty-one million, twelve thousand".