312210010200000 has 672 divisors, whose sum is σ = 1185650406017280. Its totient is φ = 71703705600000.

The previous prime is 312210010199963. The next prime is 312210010200059. The reversal of 312210010200000 is 2010012213.

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 95 ways as a sum of consecutive naturals, for example, 124155144 + ... + 126644856.

It is an arithmetic number, because the mean of its divisors is an integer number (1764360723240).

Almost surely, 2^{312210010200000} is an apocalyptic number.

312210010200000 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 312210010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592825203008640).

312210010200000 is an abundant number, since it is smaller than the sum of its proper divisors (873440395817280).

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

312210010200000 is a wasteful number, since it uses less digits than its factorization.

312210010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489783 (or 2489753 counting only the distinct ones).

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

Adding to 312210010200000 its reverse (2010012213), we get a palindrome (312212020212213).

The spelling of 312210010200000 in words is "three hundred twelve trillion, two hundred ten billion, ten million, two hundred thousand".