12340578729141 has 384 divisors, whose sum is σ = 22723417866240. Its totient is φ = 6372911001600.

The previous prime is 12340578729133. The next prime is 12340578729169. The reversal of 12340578729141 is 14192787504321.

It is a happy number.

12340578729141 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 578 + 7 + 29 + 1 + 41 = 666.

It is not a de Polignac number, because 12340578729141 - 2³ = 12340578729133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340578739141) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3444201036 + ... + 3444204618.

It is an arithmetic number, because the mean of its divisors is an integer number (59175567360).

Almost surely, 2^{12340578729141} is an apocalyptic number.

It is an amenable number.

12340578729141 is a deficient number, since it is larger than the sum of its proper divisors (10382839137099).

12340578729141 is a wasteful number, since it uses less digits than its factorization.

12340578729141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12340578729141 in words is "twelve trillion, three hundred forty billion, five hundred seventy-eight million, seven hundred twenty-nine thousand, one hundred forty-one".