210312303213012 has 1152 divisors, whose sum is σ = 687456373653504. Its totient is φ = 48667322880000.

The previous prime is 210312303212989. The next prime is 210312303213013.

210312303213012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210312303213012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210312303213013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 207613329418 + ... + 207613330430.

It is an arithmetic number, because the mean of its divisors is an integer number (596750324352).

Almost surely, 2^{210312303213012} is an apocalyptic number.

210312303213012 is a gapful number since it is divisible by the number (22) 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 210312303213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728186826752).

210312303213012 is an abundant number, since it is smaller than the sum of its proper divisors (477144070440492).

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

210312303213012 is a wasteful number, since it uses less digits than its factorization.

210312303213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21031230 and 3213012, that added together give a palindrome (24244242).

The spelling of 210312303213012 in words is "two hundred ten trillion, three hundred twelve billion, three hundred three million, two hundred thirteen thousand, twelve".