12211222211010 has 96 divisors (see below), whose sum is σ = 32640647216112. Its totient is φ = 3165073367040.

The previous prime is 12211222211009. The next prime is 12211222211033. The reversal of 12211222211010 is 1011222211221.

12211222211010 is a `hidden beast` number, since 1 + 221 + 1 + 222 + 211 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9098711189649 + 3112511021361 = 3016407^2 + 1764231^2 .

It is a super-2 number, since 2×12211222211010² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376730 + ... + 5130090.

Almost surely, 2^{12211222211010} is an apocalyptic number.

12211222211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211222211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320323608056).

12211222211010 is an abundant number, since it is smaller than the sum of its proper divisors (20429425005102).

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

12211222211010 is a wasteful number, since it uses less digits than its factorization.

12211222211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754388 (or 3754385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211222211010 its reverse (1011222211221), we get a palindrome (13222444422231).

The spelling of 12211222211010 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, ten".