312200210122112 has 128 divisors (see below), whose sum is σ = 682628665440960. Its totient is φ = 141335085146112.

The previous prime is 312200210122057. The next prime is 312200210122181. The reversal of 312200210122112 is 211221012002213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323800613 + ... + 324763355.

Almost surely, 2^{312200210122112} is an apocalyptic number.

312200210122112 is a gapful number since it is divisible by the number (32) 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 312200210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341314332720480).

312200210122112 is an abundant number, since it is smaller than the sum of its proper divisors (370428455318848).

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

312200210122112 is a wasteful number, since it uses less digits than its factorization.

312200210122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966500 (or 966488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 312200210122112 its reverse (211221012002213), we get a palindrome (523421222124325).

The spelling of 312200210122112 in words is "three hundred twelve trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".