12434960511 has 64 divisors (see below), whose sum is σ = 19554048000. Its totient is φ = 7891465824.

The previous prime is 12434960497. The next prime is 12434960513. The reversal of 12434960511 is 11506943421.

It is a happy number.

12434960511 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 49 + 605 + 1 + 1 = 666.

It is not a de Polignac number, because 12434960511 - 2¹¹ = 12434958463 is a prime.

It is a super-2 number, since 2×12434960511² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434960513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13530510 + ... + 13531428.

It is an arithmetic number, because the mean of its divisors is an integer number (305532000).

Almost surely, 2^12434960511 is an apocalyptic number.

12434960511 is a deficient number, since it is larger than the sum of its proper divisors (7119087489).

12434960511 is an frugal number, since it uses more digits than its factorization.

12434960511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12434960511 in words is "twelve billion, four hundred thirty-four million, nine hundred sixty thousand, five hundred eleven".