12612635280 has 480 divisors, whose sum is σ = 50838710400. Its totient is φ = 2865687552.

The previous prime is 12612635279. The next prime is 12612635317. The reversal of 12612635280 is 8253621621.

12612635280 is a `hidden beast` number, since 1 + 2 + 6 + 12 + 635 + 2 + 8 + 0 = 666.

12612635280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28470739 + ... + 28471181.

It is an arithmetic number, because the mean of its divisors is an integer number (105913980).

Almost surely, 2^12612635280 is an apocalyptic number.

12612635280 is a gapful number since it is divisible by the number (10) 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 12612635280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25419355200).

12612635280 is an abundant number, since it is smaller than the sum of its proper divisors (38226075120).

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

12612635280 is a wasteful number, since it uses less digits than its factorization.

12612635280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12612635280 in words is "twelve billion, six hundred twelve million, six hundred thirty-five thousand, two hundred eighty".