2122123434001 has 8 divisors (see below), whose sum is σ = 2146787724744. Its totient is φ = 2097592104960.

The previous prime is 2122123433999. The next prime is 2122123434019. The reversal of 2122123434001 is 1004343212212.

It can be written as a sum of positive squares in 4 ways, for example, as 435865360401 + 1686258073600 = 660201^2 + 1298560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122123434001 - 2¹ = 2122123433999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122123434091) 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 7 ways as a sum of consecutive naturals, for example, 33208320 + ... + 33272161.

It is an arithmetic number, because the mean of its divisors is an integer number (268348465593).

Almost surely, 2^{2122123434001} is an apocalyptic number.

It is an amenable number.

2122123434001 is a deficient number, since it is larger than the sum of its proper divisors (24664290743).

2122123434001 is a wasteful number, since it uses less digits than its factorization.

2122123434001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66480851.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2122123434001 its reverse (1004343212212), we get a palindrome (3126466646213).

The spelling of 2122123434001 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-three million, four hundred thirty-four thousand, one".