12262682880 has 576 divisors, whose sum is σ = 50190174720. Its totient is φ = 2777186304.

The previous prime is 12262682863. The next prime is 12262682893. The reversal of 12262682880 is 8828626221.

12262682880 is a `hidden beast` number, since 12 + 2 + 626 + 8 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41852014 + ... + 41852306.

It is an arithmetic number, because the mean of its divisors is an integer number (87135720).

Almost surely, 2^12262682880 is an apocalyptic number.

12262682880 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 12262682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25095087360).

12262682880 is an abundant number, since it is smaller than the sum of its proper divisors (37927491840).

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

12262682880 is a wasteful number, since it uses less digits than its factorization.

12262682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12262682880 in words is "twelve billion, two hundred sixty-two million, six hundred eighty-two thousand, eight hundred eighty".