123342034121040 has 320 divisors, whose sum is σ = 447891922796544. Its totient is φ = 27493008021504.

The previous prime is 123342034121027. The next prime is 123342034121063. The reversal of 123342034121040 is 40121430243321.

It is a super-2 number, since 2×123342034121040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123342034120989 and 123342034121007.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19052277 + ... + 24691563.

Almost surely, 2^{123342034121040} is an apocalyptic number.

123342034121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123342034121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223945961398272).

123342034121040 is an abundant number, since it is smaller than the sum of its proper divisors (324549888675504).

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

123342034121040 is a wasteful number, since it uses less digits than its factorization.

123342034121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639634 (or 5639628 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 123342034121040 its reverse (40121430243321), we get a palindrome (163463464364361).

The spelling of 123342034121040 in words is "one hundred twenty-three trillion, three hundred forty-two billion, thirty-four million, one hundred twenty-one thousand, forty".