221001201212000 has 192 divisors, whose sum is σ = 592731017057088. Its totient is φ = 80314224640000.

The previous prime is 221001201211937. The next prime is 221001201212063. The reversal of 221001201212000 is 212102100122.

It is an interprime number because it is at equal distance from previous prime (221001201211937) and next prime (221001201212063).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69415040 + ... + 72528960.

It is an arithmetic number, because the mean of its divisors is an integer number (3087140713839).

Almost surely, 2^{221001201212000} is an apocalyptic number.

221001201212000 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 221001201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296365508528544).

221001201212000 is an abundant number, since it is smaller than the sum of its proper divisors (371729815845088).

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

221001201212000 is a wasteful number, since it uses less digits than its factorization.

221001201212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115570 (or 3115552 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221001201212000 its reverse (212102100122), we get a palindrome (221213303312122).

The spelling of 221001201212000 in words is "two hundred twenty-one trillion, one billion, two hundred one million, two hundred twelve thousand".