312114132330 has 384 divisors, whose sum is σ = 1051403431680. Its totient is φ = 58246594560.

The previous prime is 312114132283. The next prime is 312114132353. The reversal of 312114132330 is 33231411213.

It is a self number, because there is not a number n which added to its sum of digits gives 312114132330.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7757706 + ... + 7797834.

It is an arithmetic number, because the mean of its divisors is an integer number (2738029770).

Almost surely, 2^312114132330 is an apocalyptic number.

312114132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312114132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525701715840).

312114132330 is an abundant number, since it is smaller than the sum of its proper divisors (739289299350).

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

312114132330 is a wasteful number, since it uses less digits than its factorization.

312114132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214 (or 40207 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312114132330 its reverse (33231411213), we get a palindrome (345345543543).

It can be divided in two parts, 312114 and 132330, that added together give a palindrome (444444).

The spelling of 312114132330 in words is "three hundred twelve billion, one hundred fourteen million, one hundred thirty-two thousand, three hundred thirty".