123000345404040 has 256 divisors, whose sum is σ = 400196547072000. Its totient is φ = 30063470976000.

The previous prime is 123000345404023. The next prime is 123000345404051. The reversal of 123000345404040 is 40404543000321.

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 = 123000345403989 and 123000345404007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152022565 + ... + 152829515.

It is an arithmetic number, because the mean of its divisors is an integer number (1563267762000).

Almost surely, 2^{123000345404040} is an apocalyptic number.

123000345404040 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 123000345404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200098273536000).

123000345404040 is an abundant number, since it is smaller than the sum of its proper divisors (277196201667960).

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

123000345404040 is a wasteful number, since it uses less digits than its factorization.

123000345404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807668 (or 807664 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 123000345404040 its reverse (40404543000321), we get a palindrome (163404888404361).

The spelling of 123000345404040 in words is "one hundred twenty-three trillion, three hundred forty-five million, four hundred four thousand, forty".