2012211342401 has 16 divisors (see below), whose sum is σ = 2198242215120. Its totient is φ = 1830680248320.

The previous prime is 2012211342391. The next prime is 2012211342403. The reversal of 2012211342401 is 1042431122102.

It can be written as a sum of positive squares in 8 ways, for example, as 593861349376 + 1418349993025 = 770624^2 + 1190945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012211342401 - 2²² = 2012207148097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012211342403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584711 + ... + 2089571.

It is an arithmetic number, because the mean of its divisors is an integer number (137390138445).

Almost surely, 2^{2012211342401} is an apocalyptic number.

It is an amenable number.

2012211342401 is a deficient number, since it is larger than the sum of its proper divisors (186030872719).

2012211342401 is a wasteful number, since it uses less digits than its factorization.

2012211342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506356.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2012211342401 its reverse (1042431122102), we get a palindrome (3054642464503).

The spelling of 2012211342401 in words is "two trillion, twelve billion, two hundred eleven million, three hundred forty-two thousand, four hundred one".