12077130816 has 189 divisors, whose sum is σ = 36686975013. Its totient is φ = 3798005760.

The previous prime is 12077130727. The next prime is 12077130841. The reversal of 12077130816 is 61803177021.

The square root of 12077130816 is 109896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9082852416 + 2994278400 = 95304^2 + 54720^2 .

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 26 ways as a sum of consecutive naturals, for example, 50112456 + ... + 50112696.

Almost surely, 2^12077130816 is an apocalyptic number.

12077130816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12077130816 is the 109896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12077130816

12077130816 is an abundant number, since it is smaller than the sum of its proper divisors (24609844197).

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

12077130816 is an equidigital number, since it uses as much as digits as its factorization.

12077130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 12077130816 by its sum of digits (36), we get a square (434776709376 = 659376²).

12077130816 divided by its sum of digits (36) gives a square (335475856 = 18316²).

The spelling of 12077130816 in words is "twelve billion, seventy-seven million, one hundred thirty thousand, eight hundred sixteen".