12221200101012 has 144 divisors (see below), whose sum is σ = 34626254140800. Its totient is φ = 3285791495424.

The previous prime is 12221200101001. The next prime is 12221200101029. The reversal of 12221200101012 is 21010100212221.

12221200101012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12221200100982 and 12221200101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3165858 + ... + 5870694.

It is an arithmetic number, because the mean of its divisors is an integer number (240460098200).

Almost surely, 2^{12221200101012} is an apocalyptic number.

12221200101012 is a gapful number since it is divisible by the number (12) 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 12221200101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313127070400).

12221200101012 is an abundant number, since it is smaller than the sum of its proper divisors (22405054039788).

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

12221200101012 is a wasteful number, since it uses less digits than its factorization.

12221200101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705038 (or 2705017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221200101012 its reverse (21010100212221), we get a palindrome (33231300313233).

The spelling of 12221200101012 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, one hundred one thousand, twelve".