12220311144001 has 2 divisors, whose sum is σ = 12220311144002. Its totient is φ = 12220311144000.

The previous prime is 12220311143923. The next prime is 12220311144023. The reversal of 12220311144001 is 10044111302221.

It is an a-pointer prime, because the next prime (12220311144023) can be obtained adding 12220311144001 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12188198145600 + 32112998401 = 3491160^2 + 179201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12220311144001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220311144031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110155572000 + 6110155572001.

It is an arithmetic number, because the mean of its divisors is an integer number (6110155572001).

Almost surely, 2^{12220311144001} is an apocalyptic number.

It is an amenable number.

12220311144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220311144001 is an equidigital number, since it uses as much as digits as its factorization.

12220311144001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12220311144001 its reverse (10044111302221), we get a palindrome (22264422446222).

The spelling of 12220311144001 in words is "twelve trillion, two hundred twenty billion, three hundred eleven million, one hundred forty-four thousand, one".