201210312000 has 224 divisors, whose sum is σ = 664855850880. Its totient is φ = 53618995200.

The previous prime is 201210311987. The next prime is 201210312001. The reversal of 201210312000 is 213012102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66646491 + ... + 66649509.

Almost surely, 2^201210312000 is an apocalyptic number.

201210312000 is a gapful number since it is divisible by the number (20) 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 201210312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332427925440).

201210312000 is an abundant number, since it is smaller than the sum of its proper divisors (463645538880).

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

201210312000 is a wasteful number, since it uses less digits than its factorization.

201210312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5806 counting only the distinct ones).

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

Adding to 201210312000 its reverse (213012102), we get a palindrome (201423324102).

The spelling of 201210312000 in words is "two hundred one billion, two hundred ten million, three hundred twelve thousand".