12302578080 has 720 divisors, whose sum is σ = 48512832984. Its totient is φ = 2932899840.

The previous prime is 12302578073. The next prime is 12302578087. The reversal of 12302578080 is 8087520321.

12302578080 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 2 + 578 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12302578073) and next prime (12302578087).

It can be written as a sum of positive squares in 12 ways, for example, as 1123322256 + 11179255824 = 33516^2 + 105732^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (12302578087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89799772 + ... + 89799908.

Almost surely, 2^12302578080 is an apocalyptic number.

12302578080 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 12302578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24256416492).

12302578080 is an abundant number, since it is smaller than the sum of its proper divisors (36210254904).

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

12302578080 is a wasteful number, since it uses less digits than its factorization.

12302578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

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

The spelling of 12302578080 in words is "twelve billion, three hundred two million, five hundred seventy-eight thousand, eighty".