312224111232 has 128 divisors (see below), whose sum is σ = 905189860800. Its totient is φ = 94566359040.

The previous prime is 312224111231. The next prime is 312224111261. The reversal of 312224111232 is 232111422213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×312224111232² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312224111231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9009394 + ... + 9043982.

Almost surely, 2^312224111232 is an apocalyptic number.

312224111232 is a gapful number since it is divisible by the number (32) 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 312224111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452594930400).

312224111232 is an abundant number, since it is smaller than the sum of its proper divisors (592965749568).

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

312224111232 is a wasteful number, since it uses less digits than its factorization.

312224111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36754 (or 36742 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 312224111232 its reverse (232111422213), we get a palindrome (544335533445).

The spelling of 312224111232 in words is "three hundred twelve billion, two hundred twenty-four million, one hundred eleven thousand, two hundred thirty-two".