2201121330012 has 216 divisors, whose sum is σ = 6287826470016. Its totient is φ = 648277344000.

The previous prime is 2201121329959. The next prime is 2201121330019. The reversal of 2201121330012 is 2100331211022.

2201121330012 is a `hidden beast` number, since 2 + 201 + 121 + 330 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201121330019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159714562 + ... + 159728342.

Almost surely, 2^{2201121330012} is an apocalyptic number.

2201121330012 is a gapful number since it is divisible by the number (22) 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 2201121330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143913235008).

2201121330012 is an abundant number, since it is smaller than the sum of its proper divisors (4086705140004).

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

2201121330012 is a wasteful number, since it uses less digits than its factorization.

2201121330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841 (or 14825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2201121330012 its reverse (2100331211022), we get a palindrome (4301452541034).

The spelling of 2201121330012 in words is "two trillion, two hundred one billion, one hundred twenty-one million, three hundred thirty thousand, twelve".