312132221312 has 192 divisors, whose sum is σ = 687344421600. Its totient is φ = 140901285888.

The previous prime is 312132221309. The next prime is 312132221339. The reversal of 312132221312 is 213122231213.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540956768 + ... + 540957344.

Almost surely, 2^312132221312 is an apocalyptic number.

312132221312 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 312132221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343672210800).

312132221312 is an abundant number, since it is smaller than the sum of its proper divisors (375212200288).

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

312132221312 is a wasteful number, since it uses less digits than its factorization.

312132221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1130 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 312132221312 its reverse (213122231213), we get a palindrome (525254452525).

Subtracting from 312132221312 its reverse (213122231213), we obtain a palindrome (99009990099).

The spelling of 312132221312 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".