312312132222012 has 144 divisors (see below), whose sum is σ = 861172436124000. Its totient is φ = 94860464491008.

The previous prime is 312312132221989. The next prime is 312312132222029. The reversal of 312312132222012 is 210222231213213.

312312132222012 is a `hidden beast` number, since 3 + 1 + 2 + 312 + 1 + 322 + 2 + 20 + 1 + 2 = 666.

It is a super-2 number, since 2×312312132222012² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342439 + ... + 25102017.

It is an arithmetic number, because the mean of its divisors is an integer number (5980364139750).

Almost surely, 2^{312312132222012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312312132222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430586218062000).

312312132222012 is an abundant number, since it is smaller than the sum of its proper divisors (548860303901988).

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

312312132222012 is a wasteful number, since it uses less digits than its factorization.

312312132222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22759980 (or 22759975 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312312132222012 its reverse (210222231213213), we get a palindrome (522534363435225).

The spelling of 312312132222012 in words is "three hundred twelve trillion, three hundred twelve billion, one hundred thirty-two million, two hundred twenty-two thousand, twelve".