312000210210000 has 1600 divisors, whose sum is σ = 1132190095196160. Its totient is φ = 73932768000000.

The previous prime is 312000210209993. The next prime is 312000210210067. The reversal of 312000210210000 is 12012000213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 635438309755 + ... + 635438310245.

Almost surely, 2^{312000210210000} is an apocalyptic number.

312000210210000 is a gapful number since it is divisible by the number (30) 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 312000210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566095047598080).

312000210210000 is an abundant number, since it is smaller than the sum of its proper divisors (820189884986160).

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

312000210210000 is a wasteful number, since it uses less digits than its factorization.

312000210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312000210210000 its reverse (12012000213), we get a palindrome (312012222210213).

The spelling of 312000210210000 in words is "three hundred twelve trillion, two hundred ten million, two hundred ten thousand".