1211232122100 has 2592 divisors, whose sum is σ = 5543251459200. Its totient is φ = 217031270400.

The previous prime is 1211232122099. The next prime is 1211232122173. The reversal of 1211232122100 is 12212321121.

1211232122100 is a `hidden beast` number, since 1 + 211 + 232 + 1 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 6766659811 + ... + 6766659989.

It is an arithmetic number, because the mean of its divisors is an integer number (2138600100).

Almost surely, 2^{1211232122100} is an apocalyptic number.

1211232122100 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 1211232122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771625729600).

1211232122100 is an abundant number, since it is smaller than the sum of its proper divisors (4332019337100).

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

1211232122100 is a wasteful number, since it uses less digits than its factorization.

1211232122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

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

Adding to 1211232122100 its reverse (12212321121), we get a palindrome (1223444443221).

The spelling of 1211232122100 in words is "one trillion, two hundred eleven billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred".