13248214200 has 432 divisors, whose sum is σ = 49992972120. Its totient is φ = 3259077120.

The previous prime is 13248214183. The next prime is 13248214207. The reversal of 13248214200 is 241284231.

13248214200 is a `hidden beast` number, since 1 + 3 + 248 + 214 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248214207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8212594 + ... + 8214206.

Almost surely, 2^13248214200 is an apocalyptic number.

13248214200 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 13248214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24996486060).

13248214200 is an abundant number, since it is smaller than the sum of its proper divisors (36744757920).

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

13248214200 is a wasteful number, since it uses less digits than its factorization.

13248214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13248214200 its reverse (241284231), we get a palindrome (13489498431).

The spelling of 13248214200 in words is "thirteen billion, two hundred forty-eight million, two hundred fourteen thousand, two hundred".