13122404402240 has 224 divisors, whose sum is σ = 35961611470080. Its totient is φ = 4467671064576.

The previous prime is 13122404402227. The next prime is 13122404402249. The reversal of 13122404402240 is 4220440422131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (13122404402249) 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, 442875746 + ... + 442905374.

Almost surely, 2^{13122404402240} is an apocalyptic number.

13122404402240 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 13122404402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980805735040).

13122404402240 is an abundant number, since it is smaller than the sum of its proper divisors (22839207067840).

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

13122404402240 is a wasteful number, since it uses less digits than its factorization.

13122404402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31029 (or 31019 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 13122404402240 its reverse (4220440422131), we get a palindrome (17342844824371).

The spelling of 13122404402240 in words is "thirteen trillion, one hundred twenty-two billion, four hundred four million, four hundred two thousand, two hundred forty".