221034312312 has 128 divisors (see below), whose sum is σ = 608042557440. Its totient is φ = 66400750080.

The previous prime is 221034312299. The next prime is 221034312353. The reversal of 221034312312 is 213213430122.

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

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 31 ways as a sum of consecutive naturals, for example, 79024098 + ... + 79026894.

It is an arithmetic number, because the mean of its divisors is an integer number (4750332480).

Almost surely, 2^221034312312 is an apocalyptic number.

221034312312 is a gapful number since it is divisible by the number (22) 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 221034312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304021278720).

221034312312 is an abundant number, since it is smaller than the sum of its proper divisors (387008245128).

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

221034312312 is a wasteful number, since it uses less digits than its factorization.

221034312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221034312312 its reverse (213213430122), we get a palindrome (434247742434).

The spelling of 221034312312 in words is "two hundred twenty-one billion, thirty-four million, three hundred twelve thousand, three hundred twelve".