12200010011001 has 12 divisors (see below), whose sum is σ = 17622391942740. Its totient is φ = 8133268348800.

The previous prime is 12200010010927. The next prime is 12200010011003. The reversal of 12200010011001 is 10011001000221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4740966245376 + 7459043765625 = 2177376^2 + 2731125^2 .

It is not a de Polignac number, because 12200010011001 - 2⁷ = 12200010010873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12200010011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4882836 + ... + 6945653.

It is an arithmetic number, because the mean of its divisors is an integer number (1468532661895).

Almost surely, 2^{12200010011001} is an apocalyptic number.

It is an amenable number.

12200010011001 is a deficient number, since it is larger than the sum of its proper divisors (5422381931739).

12200010011001 is a wasteful number, since it uses less digits than its factorization.

12200010011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943096 (or 11943093 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12200010011001 its reverse (10011001000221), we get a palindrome (22211011011222).

The spelling of 12200010011001 in words is "twelve trillion, two hundred billion, ten million, eleven thousand, one".