12630435804 has 144 divisors (see below), whose sum is σ = 39423384000. Its totient is φ = 3396363264.

The previous prime is 12630435799. The next prime is 12630435823. The reversal of 12630435804 is 40853403621.

12630435804 is a `hidden beast` number, since 1 + 2 + 6 + 30 + 43 + 580 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179832 + ... + 240000.

It is an arithmetic number, because the mean of its divisors is an integer number (273773500).

Almost surely, 2^12630435804 is an apocalyptic number.

12630435804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630435804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711692000).

12630435804 is an abundant number, since it is smaller than the sum of its proper divisors (26792948196).

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

12630435804 is a wasteful number, since it uses less digits than its factorization.

12630435804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60217 (or 60198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12630435804 in words is "twelve billion, six hundred thirty million, four hundred thirty-five thousand, eight hundred four".