312213112301112 has 256 divisors, whose sum is σ = 870362768056320. Its totient is φ = 92537006822400.

The previous prime is 312213112301107. The next prime is 312213112301113. The reversal of 312213112301112 is 211103211312213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213112301113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3711434412 + ... + 3711518532.

It is an arithmetic number, because the mean of its divisors is an integer number (3399854562720).

Almost surely, 2^{312213112301112} 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 312213112301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435181384028160).

312213112301112 is an abundant number, since it is smaller than the sum of its proper divisors (558149655755208).

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

312213112301112 is a wasteful number, since it uses less digits than its factorization.

312213112301112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85914 (or 85910 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 312213112301112 its reverse (211103211312213), we get a palindrome (523316323613325).

The spelling of 312213112301112 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred twelve million, three hundred one thousand, one hundred twelve".