13445120000 has 300 divisors, whose sum is σ = 36543986556. Its totient is φ = 4915200000.

The previous prime is 13445119993. The next prime is 13445120009. The reversal of 13445120000 is 2154431.

It can be written as a sum of positive squares in 10 ways, for example, as 9166913536 + 4278206464 = 95744^2 + 65408^2 .

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 (13445120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133119950 + ... + 133120050.

Almost surely, 2^13445120000 is an apocalyptic number.

13445120000 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 13445120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271993278).

13445120000 is an abundant number, since it is smaller than the sum of its proper divisors (23098866556).

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

13445120000 is an frugal number, since it uses more digits than its factorization.

13445120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13445120000 its reverse (2154431), we get a palindrome (13447274431).

It can be divided in two parts, 134451 and 20000, that added together give a palindrome (154451).

The spelling of 13445120000 in words is "thirteen billion, four hundred forty-five million, one hundred twenty thousand".