12280388486400 has 540 divisors, whose sum is σ = 46513740172284. Its totient is φ = 3194892288000.

The previous prime is 12280388486383. The next prime is 12280388486417. The reversal of 12280388486400 is 468488308221.

12280388486400 is a `hidden beast` number, since 1 + 2 + 2 + 80 + 3 + 8 + 84 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (12280388486383) and next prime (12280388486417).

It can be written as a sum of positive squares in 6 ways, for example, as 3065132565504 + 9215255920896 = 1750752^2 + 3035664^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20965510 + ... + 21543290.

Almost surely, 2^{12280388486400} is an apocalyptic number.

12280388486400 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 12280388486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256870086142).

12280388486400 is an abundant number, since it is smaller than the sum of its proper divisors (34233351685884).

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

12280388486400 is an equidigital number, since it uses as much as digits as its factorization.

12280388486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577860 (or 577832 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 12280388486400 in words is "twelve trillion, two hundred eighty billion, three hundred eighty-eight million, four hundred eighty-six thousand, four hundred".