212310201441300 has 288 divisors, whose sum is σ = 651484851050880. Its totient is φ = 53198389248000.

The previous prime is 212310201441287. The next prime is 212310201441301. The reversal of 212310201441300 is 3144102013212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212310201441301) 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 95 ways as a sum of consecutive naturals, for example, 14514944587 + ... + 14514959213.

It is an arithmetic number, because the mean of its divisors is an integer number (2262100177260).

Almost surely, 2^{212310201441300} is an apocalyptic number.

212310201441300 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 212310201441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325742425525440).

212310201441300 is an abundant number, since it is smaller than the sum of its proper divisors (439174649609580).

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

212310201441300 is a wasteful number, since it uses less digits than its factorization.

212310201441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131 (or 19124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212310201441300 its reverse (3144102013212), we get a palindrome (215454303454512).

The spelling of 212310201441300 in words is "two hundred twelve trillion, three hundred ten billion, two hundred one million, four hundred forty-one thousand, three hundred".