123424112121001 has 8 divisors (see below), whose sum is σ = 123554684329160. Its totient is φ = 123293606827392.

The previous prime is 123424112120999. The next prime is 123424112121103. The reversal of 123424112121001 is 100121211424321.

It can be written as a sum of positive squares in 4 ways, for example, as 58760641471401 + 64663470649600 = 7665549^2 + 8041360^2 .

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 123424112121001 - 2¹ = 123424112120999 is a prime.

It is a super-2 number, since 2×123424112121001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123424112121601) 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, 13037250 + ... + 20416123.

It is an arithmetic number, because the mean of its divisors is an integer number (15444335541145).

Almost surely, 2^{123424112121001} is an apocalyptic number.

It is an amenable number.

123424112121001 is a deficient number, since it is larger than the sum of its proper divisors (130572208159).

123424112121001 is a wasteful number, since it uses less digits than its factorization.

123424112121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33457275.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 123424112121001 its reverse (100121211424321), we get a palindrome (223545323545322).

The spelling of 123424112121001 in words is "one hundred twenty-three trillion, four hundred twenty-four billion, one hundred twelve million, one hundred twenty-one thousand, one".