13225212000 has 1152 divisors, whose sum is σ = 63191052288. Its totient is φ = 2529792000.

The previous prime is 13225211981. The next prime is 13225212001. The reversal of 13225212000 is 21252231.

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 (13225212001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36035817 + ... + 36036183.

It is an arithmetic number, because the mean of its divisors is an integer number (54853344).

Almost surely, 2^13225212000 is an apocalyptic number.

13225212000 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 13225212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595526144).

13225212000 is an abundant number, since it is smaller than the sum of its proper divisors (49965840288).

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

13225212000 is a wasteful number, since it uses less digits than its factorization.

13225212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13225212000 its reverse (21252231), we get a palindrome (13246464231).

The spelling of 13225212000 in words is "thirteen billion, two hundred twenty-five million, two hundred twelve thousand".