12106178280 has 288 divisors, whose sum is σ = 46472400000. Its totient is φ = 2677328640.

The previous prime is 12106178243. The next prime is 12106178321. The reversal of 12106178280 is 8287160121.

12106178280 is a `hidden beast` number, since 1 + 2 + 10 + 617 + 8 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2419221 + ... + 2424219.

It is an arithmetic number, because the mean of its divisors is an integer number (161362500).

Almost surely, 2^12106178280 is an apocalyptic number.

12106178280 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 12106178280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236200000).

12106178280 is an abundant number, since it is smaller than the sum of its proper divisors (34366221720).

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

12106178280 is a wasteful number, since it uses less digits than its factorization.

12106178280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 12106178280 in words is "twelve billion, one hundred six million, one hundred seventy-eight thousand, two hundred eighty".