13122441000 has 96 divisors (see below), whose sum is σ = 44353881000. Its totient is φ = 3499315200.

The previous prime is 13122440983. The next prime is 13122441001. The reversal of 13122441000 is 14422131.

13122441000 is a `hidden beast` number, since 1 + 31 + 224 + 410 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6384329604 + 6738111396 = 79902^2 + 82086^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13122441001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720025 + ... + 738024.

Almost surely, 2^13122441000 is an apocalyptic number.

13122441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122441000 is an abundant number, since it is smaller than the sum of its proper divisors (31231440000).

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

13122441000 is a wasteful number, since it uses less digits than its factorization.

13122441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458076 (or 1458059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13122441000 its reverse (14422131), we get a palindrome (13136863131).

The spelling of 13122441000 in words is "thirteen billion, one hundred twenty-two million, four hundred forty-one thousand".