10213212000000 has 504 divisors, whose sum is σ = 34486948561408. Its totient is φ = 2682662400000.

The previous prime is 10213211999999. The next prime is 10213212000071. The reversal of 10213212000000 is 21231201.

10213212000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10213212000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 803993649 + ... + 804006351.

Almost surely, 2^{10213212000000} is an apocalyptic number.

10213212000000 is a gapful number since it is divisible by the number (10) 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 10213212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243474280704).

10213212000000 is an abundant number, since it is smaller than the sum of its proper divisors (24273736561408).

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

10213212000000 is an frugal number, since it uses more digits than its factorization.

10213212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12780 counting only the distinct ones).

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

Adding to 10213212000000 its reverse (21231201), we get a palindrome (10213233231201).

The spelling of 10213212000000 in words is "ten trillion, two hundred thirteen billion, two hundred twelve million", and thus it is an aban number.