122211100001100 has 576 divisors, whose sum is σ = 392633304860160. Its totient is φ = 29102976000000.

The previous prime is 122211100001093. The next prime is 122211100001147. The reversal of 122211100001100 is 1100001112221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 38083856296 + ... + 38083859504.

It is an arithmetic number, because the mean of its divisors is an integer number (681655043160).

Almost surely, 2^{122211100001100} is an apocalyptic number.

122211100001100 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 122211100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196316652430080).

122211100001100 is an abundant number, since it is smaller than the sum of its proper divisors (270422204859060).

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

122211100001100 is a wasteful number, since it uses less digits than its factorization.

122211100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122211100001100 its reverse (1100001112221), we get a palindrome (123311101113321).

The spelling of 122211100001100 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred million, one thousand, one hundred".