13221023012000 has 96 divisors (see below), whose sum is σ = 34394880396240. Its totient is φ = 4977326284800.

The previous prime is 13221023011891. The next prime is 13221023012089. The reversal of 13221023012000 is 21032012231.

It can be written as a sum of positive squares in 8 ways, for example, as 211699371664 + 13009323640336 = 460108^2 + 3606844^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 13221023012000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97145405 + ... + 97281404.

Almost surely, 2^{13221023012000} is an apocalyptic number.

13221023012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221023012000 is an abundant number, since it is smaller than the sum of its proper divisors (21173857384240).

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

13221023012000 is a wasteful number, since it uses less digits than its factorization.

13221023012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194426851 (or 194426833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13221023012000 its reverse (21032012231), we get a palindrome (13242055024231).

The spelling of 13221023012000 in words is "thirteen trillion, two hundred twenty-one billion, twenty-three million, twelve thousand".