13327200012 has 144 divisors (see below), whose sum is σ = 37094319360. Its totient is φ = 3646790784.

The previous prime is 13327199993. The next prime is 13327200013. The reversal of 13327200012 is 21000272331.

It is a super-2 number, since 2×13327200012² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13327200013) 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, 8230939 + ... + 8232557.

It is an arithmetic number, because the mean of its divisors is an integer number (257599440).

Almost surely, 2^13327200012 is an apocalyptic number.

13327200012 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 13327200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547159680).

13327200012 is an abundant number, since it is smaller than the sum of its proper divisors (23767119348).

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

13327200012 is a wasteful number, since it uses less digits than its factorization.

13327200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 13327200012 its reverse (21000272331), we get a palindrome (34327472343).

The spelling of 13327200012 in words is "thirteen billion, three hundred twenty-seven million, two hundred thousand, twelve".