12211220132100 has 576 divisors, whose sum is σ = 44277166080000. Its totient is φ = 2897283945600.

The previous prime is 12211220132039. The next prime is 12211220132101. The reversal of 12211220132100 is 123102211221.

12211220132100 is a `hidden beast` number, since 1 + 2 + 211 + 220 + 132 + 100 = 666.

It is a super-2 number, since 2×12211220132100² (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 not an unprimeable number, because it can be changed into a prime (12211220132101) 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 191 ways as a sum of consecutive naturals, for example, 113013901 + ... + 113121899.

It is an arithmetic number, because the mean of its divisors is an integer number (76870080000).

Almost surely, 2^{12211220132100} is an apocalyptic number.

12211220132100 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 12211220132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138583040000).

12211220132100 is an abundant number, since it is smaller than the sum of its proper divisors (32065945947900).

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

12211220132100 is a wasteful number, since it uses less digits than its factorization.

12211220132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108092 (or 108067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12211220132100 its reverse (123102211221), we get a palindrome (12334322343321).

The spelling of 12211220132100 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, one hundred thirty-two thousand, one hundred".