2427135123141 has 24 divisors (see below), whose sum is σ = 3516913489440. Its totient is φ = 1612990605600.

The previous prime is 2427135123071. The next prime is 2427135123143. The reversal of 2427135123141 is 1413215317242.

2427135123141 is a `hidden beast` number, since 2 + 4 + 2 + 71 + 3 + 512 + 31 + 41 = 666.

2427135123141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2427135123141 - 2²⁵ = 2427101568709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2427135123096 and 2427135123105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427135123143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24649755 + ... + 24748023.

It is an arithmetic number, because the mean of its divisors is an integer number (146538062060).

Almost surely, 2^{2427135123141} is an apocalyptic number.

It is an amenable number.

2427135123141 is a deficient number, since it is larger than the sum of its proper divisors (1089778366299).

2427135123141 is a wasteful number, since it uses less digits than its factorization.

2427135123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106897 (or 106894 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 2427135123141 in words is "two trillion, four hundred twenty-seven billion, one hundred thirty-five million, one hundred twenty-three thousand, one hundred forty-one".