123141242052000 has 288 divisors, whose sum is σ = 438066393854544. Its totient is φ = 32759661312000.

The previous prime is 123141242051929. The next prime is 123141242052013. The reversal of 123141242052000 is 250242141321.

123141242052000 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 412 + 42 + 0 + 5 + 200 + 0 = 666.

123141242052000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8932949350416 + 114208292701584 = 2988804^2 + 10686828^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11093542 + ... + 19218458.

Almost surely, 2^{123141242052000} is an apocalyptic number.

123141242052000 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 123141242052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219033196927272).

123141242052000 is an abundant number, since it is smaller than the sum of its proper divisors (314925151802544).

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

123141242052000 is a wasteful number, since it uses less digits than its factorization.

123141242052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125369 (or 8125348 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 123141242052000 its reverse (250242141321), we get a palindrome (123391484193321).

The spelling of 123141242052000 in words is "one hundred twenty-three trillion, one hundred forty-one billion, two hundred forty-two million, fifty-two thousand".