12434505120 has 72 divisors (see below), whose sum is σ = 42432753636. Its totient is φ = 3315867648.

The previous prime is 12434505089. The next prime is 12434505163. The reversal of 12434505120 is 2150543421.

12434505120 is a `hidden beast` number, since 1 + 2 + 4 + 34 + 505 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12212018064 + 222487056 = 110508^2 + 14916^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4316097 + ... + 4318976.

Almost surely, 2^12434505120 is an apocalyptic number.

12434505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434505120 is an abundant number, since it is smaller than the sum of its proper divisors (29998248516).

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

12434505120 is a wasteful number, since it uses less digits than its factorization.

12434505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8635094 (or 8635083 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12434505120 in words is "twelve billion, four hundred thirty-four million, five hundred five thousand, one hundred twenty".