212412001300 has 72 divisors (see below), whose sum is σ = 478711469880. Its totient is φ = 81739468800.

The previous prime is 212412001297. The next prime is 212412001303. The reversal of 212412001300 is 3100214212.

It is an interprime number because it is at equal distance from previous prime (212412001297) and next prime (212412001303).

It can be written as a sum of positive squares in 12 ways, for example, as 5992617744 + 206419383556 = 77412^2 + 454334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6780 + ... + 651820.

It is an arithmetic number, because the mean of its divisors is an integer number (6648770415).

Almost surely, 2^212412001300 is an apocalyptic number.

212412001300 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 212412001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239355734940).

212412001300 is an abundant number, since it is smaller than the sum of its proper divisors (266299468580).

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

212412001300 is a wasteful number, since it uses less digits than its factorization.

212412001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645181 (or 645174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212412001300 its reverse (3100214212), we get a palindrome (215512215512).

The spelling of 212412001300 in words is "two hundred twelve billion, four hundred twelve million, one thousand, three hundred".