321204400211112 has 128 divisors (see below), whose sum is σ = 886796812177920. Its totient is φ = 96136964000000.

The previous prime is 321204400211089. The next prime is 321204400211117. The reversal of 321204400211112 is 211112004402123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (321204400211117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82479862 + ... + 86286362.

It is an arithmetic number, because the mean of its divisors is an integer number (6928100095140).

Almost surely, 2^{321204400211112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321204400211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443398406088960).

321204400211112 is an abundant number, since it is smaller than the sum of its proper divisors (565592411966808).

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

321204400211112 is a wasteful number, since it uses less digits than its factorization.

321204400211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810455 (or 3810451 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 321204400211112 its reverse (211112004402123), we get a palindrome (532316404613235).

The spelling of 321204400211112 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred million, two hundred eleven thousand, one hundred twelve".