2211221220012 has 576 divisors, whose sum is σ = 6997078093824. Its totient is φ = 575130378240.

The previous prime is 2211221219927. The next prime is 2211221220037. The reversal of 2211221220012 is 2100221221122.

It is a happy number.

2211221220012 is a `hidden beast` number, since 2 + 211 + 221 + 220 + 0 + 12 = 666.

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

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, 2144733937 + ... + 2144734967.

It is an arithmetic number, because the mean of its divisors is an integer number (12147705024).

Almost surely, 2^{2211221220012} 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 2211221220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498539046912).

2211221220012 is an abundant number, since it is smaller than the sum of its proper divisors (4785856873812).

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

2211221220012 is a wasteful number, since it uses less digits than its factorization.

2211221220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211221220012 its reverse (2100221221122), we get a palindrome (4311442441134).

The spelling of 2211221220012 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, twelve".