13212250243200 has 384 divisors, whose sum is σ = 49172729976000. Its totient is φ = 3463549009920.

The previous prime is 13212250243187. The next prime is 13212250243201. The reversal of 13212250243200 is 234205221231.

13212250243200 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 225 + 0 + 2 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (13212250243201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801672 + ... + 6393528.

Almost surely, 2^{13212250243200} is an apocalyptic number.

13212250243200 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 13212250243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586364988000).

13212250243200 is an abundant number, since it is smaller than the sum of its proper divisors (35960479732800).

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

13212250243200 is a wasteful number, since it uses less digits than its factorization.

13212250243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591949 (or 2591926 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13212250243200 its reverse (234205221231), we get a palindrome (13446455464431).

The spelling of 13212250243200 in words is "thirteen trillion, two hundred twelve billion, two hundred fifty million, two hundred forty-three thousand, two hundred".