221001312012 has 96 divisors (see below), whose sum is σ = 560238120960. Its totient is φ = 67402782720.

The previous prime is 221001311989. The next prime is 221001312017. The reversal of 221001312012 is 210213100122.

221001312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221001312012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221001311982 and 221001312000.

It is not an unprimeable number, because it can be changed into a prime (221001312017) 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, 8419164 + ... + 8445372.

It is an arithmetic number, because the mean of its divisors is an integer number (5835813760).

Almost surely, 2^221001312012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280119060480).

221001312012 is an abundant number, since it is smaller than the sum of its proper divisors (339236808948).

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

221001312012 is a wasteful number, since it uses less digits than its factorization.

221001312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26703 (or 26701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221001312012 its reverse (210213100122), we get a palindrome (431214412134).

The spelling of 221001312012 in words is "two hundred twenty-one billion, one million, three hundred twelve thousand, twelve".