13212312210000 has 300 divisors, whose sum is σ = 46224013080960. Its totient is φ = 3521861280000.

The previous prime is 13212312209951. The next prime is 13212312210001. The reversal of 13212312210000 is 1221321231.

13212312210000 is a `hidden beast` number, since 132 + 12 + 312 + 210 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212312210001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 233161671 + ... + 233218329.

Almost surely, 2^{13212312210000} is an apocalyptic number.

13212312210000 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 13212312210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112006540480).

13212312210000 is an abundant number, since it is smaller than the sum of its proper divisors (33011700870960).

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

13212312210000 is a wasteful number, since it uses less digits than its factorization.

13212312210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59284 (or 59260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13212312210000 its reverse (1221321231), we get a palindrome (13213533531231).

The spelling of 13212312210000 in words is "thirteen trillion, two hundred twelve billion, three hundred twelve million, two hundred ten thousand".