312123161376 has 192 divisors, whose sum is σ = 988110950400. Its totient is φ = 95281256448.

The previous prime is 312123161351. The next prime is 312123161377. The reversal of 312123161376 is 673161321213.

312123161376 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 31 + 613 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312123161376.

It is not an unprimeable number, because it can be changed into a prime (312123161377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317060 + ... + 1535868.

It is an arithmetic number, because the mean of its divisors is an integer number (5146411200).

Almost surely, 2^312123161376 is an apocalyptic number.

312123161376 is a gapful number since it is divisible by the number (36) 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 312123161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494055475200).

312123161376 is an abundant number, since it is smaller than the sum of its proper divisors (675987789024).

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

312123161376 is a wasteful number, since it uses less digits than its factorization.

312123161376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218968 (or 218954 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

Adding to 312123161376 its reverse (673161321213), we get a palindrome (985284482589).

The spelling of 312123161376 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred sixty-one thousand, three hundred seventy-six".