10512124146405 has 72 divisors (see below), whose sum is σ = 21196601068032. Its totient is φ = 4805377811136.

The previous prime is 10512124146361. The next prime is 10512124146421. The reversal of 10512124146405 is 50464142121501.

10512124146405 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 1 + 2 + 4 + 1 + 4 + 640 + 5 = 666.

It is not a de Polignac number, because 10512124146405 - 2⁹ = 10512124145893 is a prime.

It is a super-2 number, since 2×10512124146405² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10512124146405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83830984 + ... + 83956286.

It is an arithmetic number, because the mean of its divisors is an integer number (294397237056).

Almost surely, 2^{10512124146405} is an apocalyptic number.

10512124146405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10512124146405 is an abundant number, since it is smaller than the sum of its proper divisors (10684476921627).

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

10512124146405 is a wasteful number, since it uses less digits than its factorization.

10512124146405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163375 (or 163365 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 10512124146405 its reverse (50464142121501), we get a palindrome (60976266267906).

The spelling of 10512124146405 in words is "ten trillion, five hundred twelve billion, one hundred twenty-four million, one hundred forty-six thousand, four hundred five".