12212221121100 has 3456 divisors, whose sum is σ = 58381135368192. Its totient is φ = 2049579417600.

The previous prime is 12212221121071. The next prime is 12212221121101. The reversal of 12212221121100 is 112112221221.

12212221121100 is a `hidden beast` number, since 1 + 221 + 2 + 221 + 121 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12212221121101) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 13033319832 + ... + 13033320768.

It is an arithmetic number, because the mean of its divisors is an integer number (16892689632).

Almost surely, 2^{12212221121100} is an apocalyptic number.

12212221121100 is a gapful number since it is divisible by the number (10) 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 12212221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29190567684096).

12212221121100 is an abundant number, since it is smaller than the sum of its proper divisors (46168914247092).

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

12212221121100 is a wasteful number, since it uses less digits than its factorization.

12212221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

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

Adding to 12212221121100 its reverse (112112221221), we get a palindrome (12324333342321).

It can be divided in two parts, 12212221121 and 100, that added together give a palindrome (12212221221).

The spelling of 12212221121100 in words is "twelve trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".