221001211200000 has 1920 divisors, whose sum is σ = 936291973478400. Its totient is φ = 45918566400000.

The previous prime is 221001211199987. The next prime is 221001211200043. The reversal of 221001211200000 is 2112100122.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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, 18110393899 + ... + 18110406101.

It is an arithmetic number, because the mean of its divisors is an integer number (487652069520).

Almost surely, 2^{221001211200000} is an apocalyptic number.

221001211200000 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 221001211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468145986739200).

221001211200000 is an abundant number, since it is smaller than the sum of its proper divisors (715290762278400).

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

221001211200000 is an frugal number, since it uses more digits than its factorization.

221001211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12281 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221001211200000 its reverse (2112100122), we get a palindrome (221003323300122).

The spelling of 221001211200000 in words is "two hundred twenty-one trillion, one billion, two hundred eleven million, two hundred thousand".