122311211311200 has 72 divisors (see below), whose sum is σ = 398122992825768. Its totient is φ = 32616323015680.

The previous prime is 122311211311199. The next prime is 122311211311241. The reversal of 122311211311200 is 2113112113221.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25481499957 + ... + 25481504756.

It is an arithmetic number, because the mean of its divisors is an integer number (5529486011469).

Almost surely, 2^{122311211311200} is an apocalyptic number.

122311211311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311211311200 is an abundant number, since it is smaller than the sum of its proper divisors (275811781514568).

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

122311211311200 is a wasteful number, since it uses less digits than its factorization.

122311211311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50963004736 (or 50963004723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122311211311200 its reverse (2113112113221), we get a palindrome (124424323424421).

The spelling of 122311211311200 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred eleven million, three hundred eleven thousand, two hundred".