12130027776 has 288 divisors, whose sum is σ = 38363754240. Its totient is φ = 3771187200.

The previous prime is 12130027757. The next prime is 12130027807. The reversal of 12130027776 is 67772003121.

12130027776 is a `hidden beast` number, since 12 + 1 + 300 + 277 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12130027776.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6517086 + ... + 6518946.

It is an arithmetic number, because the mean of its divisors is an integer number (133207480).

Almost surely, 2^12130027776 is an apocalyptic number.

12130027776 is a gapful number since it is divisible by the number (16) 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 12130027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181877120).

12130027776 is an abundant number, since it is smaller than the sum of its proper divisors (26233726464).

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

12130027776 is a wasteful number, since it uses less digits than its factorization.

12130027776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 12130027776 in words is "twelve billion, one hundred thirty million, twenty-seven thousand, seven hundred seventy-six".