12123334132001 has 8 divisors (see below), whose sum is σ = 12167217022824. Its totient is φ = 12079452078720.

The previous prime is 12123334131989. The next prime is 12123334132009. The reversal of 12123334132001 is 10023143332121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3478881510976 + 8644452621025 = 1865176^2 + 2940145^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12123334132001 is a prime.

It is a super-2 number, since 2×12123334132001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123334132009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56687411 + ... + 56900871.

It is an arithmetic number, because the mean of its divisors is an integer number (1520902127853).

Almost surely, 2^{12123334132001} is an apocalyptic number.

It is an amenable number.

12123334132001 is a deficient number, since it is larger than the sum of its proper divisors (43882890823).

12123334132001 is a wasteful number, since it uses less digits than its factorization.

12123334132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418771.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12123334132001 its reverse (10023143332121), we get a palindrome (22146477464122).

The spelling of 12123334132001 in words is "twelve trillion, one hundred twenty-three billion, three hundred thirty-four million, one hundred thirty-two thousand, one".