123434122442004 has 72 divisors (see below), whose sum is σ = 348680869205760. Its totient is φ = 36491980022400.

The previous prime is 123434122441873. The next prime is 123434122442021. The reversal of 123434122442004 is 400244221434321.

123434122442004 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 3 + 4 + 1 + 224 + 420 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123434122442004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3801231684 + ... + 3801264155.

It is an arithmetic number, because the mean of its divisors is an integer number (4842789850080).

Almost surely, 2^{123434122442004} is an apocalyptic number.

It is an amenable number.

123434122442004 is an abundant number, since it is smaller than the sum of its proper divisors (225246746763756).

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

123434122442004 is a wasteful number, since it uses less digits than its factorization.

123434122442004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602495901 (or 7602495896 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 123434122442004 its reverse (400244221434321), we get a palindrome (523678343876325).

The spelling of 123434122442004 in words is "one hundred twenty-three trillion, four hundred thirty-four billion, one hundred twenty-two million, four hundred forty-two thousand, four".