13201200012 has 384 divisors, whose sum is σ = 42990796800. Its totient is φ = 3042800640.

The previous prime is 13201200011. The next prime is 13201200013. The reversal of 13201200012 is 21000210231.

It is an interprime number because it is at equal distance from previous prime (13201200011) and next prime (13201200013).

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

It is not an unprimeable number, because it can be changed into a prime (13201200011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37825614 + ... + 37825962.

It is an arithmetic number, because the mean of its divisors is an integer number (111955200).

Almost surely, 2^13201200012 is an apocalyptic number.

13201200012 is a gapful number since it is divisible by the number (12) 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 13201200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495398400).

13201200012 is an abundant number, since it is smaller than the sum of its proper divisors (29789596788).

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

13201200012 is a wasteful number, since it uses less digits than its factorization.

13201200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

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

Adding to 13201200012 its reverse (21000210231), we get a palindrome (34201410243).

The spelling of 13201200012 in words is "thirteen billion, two hundred one million, two hundred thousand, twelve".