123342013242000 has 480 divisors, whose sum is σ = 495928080071424. Its totient is φ = 27986671872000.

The previous prime is 123342013241971. The next prime is 123342013242061. The reversal of 123342013242000 is 242310243321.

123342013242000 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 201 + 32 + 420 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13689355 + ... + 20834645.

Almost surely, 2^{123342013242000} is an apocalyptic number.

123342013242000 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 123342013242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247964040035712).

123342013242000 is an abundant number, since it is smaller than the sum of its proper divisors (372586066829424).

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

123342013242000 is a wasteful number, since it uses less digits than its factorization.

123342013242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145464 (or 7145445 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123342013242000 its reverse (242310243321), we get a palindrome (123584323485321).

The spelling of 123342013242000 in words is "one hundred twenty-three trillion, three hundred forty-two billion, thirteen million, two hundred forty-two thousand".