12279260448000 has 5184 divisors, whose sum is σ = 59833207219968. Its totient is φ = 2483144294400.

The previous prime is 12279260447941. The next prime is 12279260448031. The reversal of 12279260448000 is 84406297221.

12279260448000 is a `hidden beast` number, since 1 + 2 + 27 + 92 + 60 + 4 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 183272543967 + ... + 183272544033.

Almost surely, 2^{12279260448000} is an apocalyptic number.

12279260448000 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 12279260448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29916603609984).

12279260448000 is an abundant number, since it is smaller than the sum of its proper divisors (47553946771968).

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

12279260448000 is an equidigital number, since it uses as much as digits as its factorization.

12279260448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12279260448000 in words is "twelve trillion, two hundred seventy-nine billion, two hundred sixty million, four hundred forty-eight thousand".