12330010144001 has 12 divisors (see below), whose sum is σ = 14350045838436. Its totient is φ = 10549741297920.

The previous prime is 12330010143989. The next prime is 12330010144003. The reversal of 12330010144001 is 10044101003321.

It can be written as a sum of positive squares in 2 ways, for example, as 4736259927025 + 7593750216976 = 2176295^2 + 2755676^2 .

It is not a de Polignac number, because 12330010144001 - 2¹⁸ = 12330009881857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12330010144003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2997083540 + ... + 2997087653.

It is an arithmetic number, because the mean of its divisors is an integer number (1195837153203).

Almost surely, 2^{12330010144001} is an apocalyptic number.

12330010144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12330010144001 is a deficient number, since it is larger than the sum of its proper divisors (2020035694435).

12330010144001 is a wasteful number, since it uses less digits than its factorization.

12330010144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994171232 (or 5994171221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12330010144001 its reverse (10044101003321), we get a palindrome (22374111147322).

The spelling of 12330010144001 in words is "twelve trillion, three hundred thirty billion, ten million, one hundred forty-four thousand, one".