312201212112 has 400 divisors, whose sum is σ = 965518202880. Its totient is φ = 97177791744.

The previous prime is 312201212039. The next prime is 312201212119. The reversal of 312201212112 is 211212102213.

312201212112 is a `hidden beast` number, since 312 + 20 + 121 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312201212119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293697693 + ... + 293698755.

Almost surely, 2^312201212112 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 312201212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482759101440).

312201212112 is an abundant number, since it is smaller than the sum of its proper divisors (653316990768).

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

312201212112 is a wasteful number, since it uses less digits than its factorization.

312201212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312201212112 its reverse (211212102213), we get a palindrome (523413314325).

The spelling of 312201212112 in words is "three hundred twelve billion, two hundred one million, two hundred twelve thousand, one hundred twelve".