12145231211201 has 32 divisors (see below), whose sum is σ = 13356459792000. Its totient is φ = 10952265646080.

The previous prime is 12145231211177. The next prime is 12145231211209. The reversal of 12145231211201 is 10211213254121.

It is a de Polignac number, because none of the positive numbers 2^k-12145231211201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12145231211209) 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, 1559276015 + ... + 1559283803.

It is an arithmetic number, because the mean of its divisors is an integer number (417389368500).

Almost surely, 2^{12145231211201} is an apocalyptic number.

12145231211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12145231211201 is a deficient number, since it is larger than the sum of its proper divisors (1211228580799).

12145231211201 is a wasteful number, since it uses less digits than its factorization.

12145231211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 12145231211201 its reverse (10211213254121), we get a palindrome (22356444465322).

The spelling of 12145231211201 in words is "twelve trillion, one hundred forty-five billion, two hundred thirty-one million, two hundred eleven thousand, two hundred one".