13122231221000 has 128 divisors (see below), whose sum is σ = 33501417505920. Its totient is φ = 4771159200000.

The previous prime is 13122231220933. The next prime is 13122231221003. The reversal of 13122231221000 is 12213222131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13122231221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99935390 + ... + 100066610.

It is an arithmetic number, because the mean of its divisors is an integer number (261729824265).

Almost surely, 2^{13122231221000} is an apocalyptic number.

13122231221000 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 13122231221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16750708752960).

13122231221000 is an abundant number, since it is smaller than the sum of its proper divisors (20379186284920).

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

13122231221000 is a wasteful number, since it uses less digits than its factorization.

13122231221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140344 (or 140330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13122231221000 its reverse (12213222131), we get a palindrome (13134444443131).

The spelling of 13122231221000 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-one million, two hundred twenty-one thousand".