123214103000040 has 128 divisors (see below), whose sum is σ = 398198796508800. Its totient is φ = 30320294784000.

The previous prime is 123214103000003. The next prime is 123214103000047. The reversal of 123214103000040 is 40000301412321.

It is a super-2 number, since 2×123214103000040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123214102999980 and 123214103000016.

It is not an unprimeable number, because it can be changed into a prime (123214103000047) 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 31 ways as a sum of consecutive naturals, for example, 7075995 + ... + 17219114.

It is an arithmetic number, because the mean of its divisors is an integer number (3110928097725).

Almost surely, 2^{123214103000040} is an apocalyptic number.

123214103000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123214103000040 is an abundant number, since it is smaller than the sum of its proper divisors (274984693508760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123214103000040 is a wasteful number, since it uses less digits than its factorization.

123214103000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24298387 (or 24298383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 123214103000040 its reverse (40000301412321), we get a palindrome (163214404412361).

The spelling of 123214103000040 in words is "one hundred twenty-three trillion, two hundred fourteen billion, one hundred three million, forty", and thus it is an aban number.