221124314312 has 48 divisors (see below), whose sum is σ = 456361516800. Its totient is φ = 100370943200.

The previous prime is 221124314267. The next prime is 221124314317. The reversal of 221124314312 is 213413421122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221124314317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537137 + ... + 854847.

It is an arithmetic number, because the mean of its divisors is an integer number (9507531600).

Almost surely, 2^221124314312 is an apocalyptic number.

221124314312 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 221124314312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228180758400).

221124314312 is an abundant number, since it is smaller than the sum of its proper divisors (235237202488).

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

221124314312 is a wasteful number, since it uses less digits than its factorization.

221124314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318458 (or 318443 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 221124314312 its reverse (213413421122), we get a palindrome (434537735434).

The spelling of 221124314312 in words is "two hundred twenty-one billion, one hundred twenty-four million, three hundred fourteen thousand, three hundred twelve".