13122445135400 has 96 divisors (see below), whose sum is σ = 31045067597880. Its totient is φ = 5157064704000.

The previous prime is 13122445135363. The next prime is 13122445135417. The reversal of 13122445135400 is 453154422131.

It can be written as a sum of positive squares in 12 ways, for example, as 431651628004 + 12690793507396 = 657002^2 + 3562414^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10137752 + ... + 11358648.

Almost surely, 2^{13122445135400} is an apocalyptic number.

13122445135400 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 13122445135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522533798940).

13122445135400 is an abundant number, since it is smaller than the sum of its proper divisors (17922622462480).

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

13122445135400 is a wasteful number, since it uses less digits than its factorization.

13122445135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221855 (or 1221846 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13122445135400 its reverse (453154422131), we get a palindrome (13575599557531).

The spelling of 13122445135400 in words is "thirteen trillion, one hundred twenty-two billion, four hundred forty-five million, one hundred thirty-five thousand, four hundred".