12278069760 has 640 divisors, whose sum is σ = 45819924480. Its totient is φ = 2775449600.

The previous prime is 12278069753. The next prime is 12278069789. The reversal of 12278069760 is 6796087221.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 137955796 + ... + 137955884.

It is an arithmetic number, because the mean of its divisors is an integer number (71593632).

Almost surely, 2^12278069760 is an apocalyptic number.

12278069760 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 12278069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22909962240).

12278069760 is an abundant number, since it is smaller than the sum of its proper divisors (33541854720).

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

12278069760 is a wasteful number, since it uses less digits than its factorization.

12278069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 12278069760 in words is "twelve billion, two hundred seventy-eight million, sixty-nine thousand, seven hundred sixty".