12612257280 has 400 divisors, whose sum is σ = 51632364960. Its totient is φ = 2882469888.

The previous prime is 12612257261. The next prime is 12612257291. The reversal of 12612257280 is 8275221621.

It is a happy number.

12612257280 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 2 + 2 + 572 + 80 = 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 39 ways as a sum of consecutive naturals, for example, 1447176 + ... + 1455864.

Almost surely, 2^12612257280 is an apocalyptic number.

12612257280 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 12612257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25816182480).

12612257280 is an abundant number, since it is smaller than the sum of its proper divisors (39020107680).

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

12612257280 is an frugal number, since it uses more digits than its factorization.

12612257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12612257280 in words is "twelve billion, six hundred twelve million, two hundred fifty-seven thousand, two hundred eighty".