12182861376 has 441 divisors, whose sum is σ = 42749762481. Its totient is φ = 3433135104.

The previous prime is 12182861371. The next prime is 12182861407. The reversal of 12182861376 is 67316828121.

The square root of 12182861376 is 110376.

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

12182861376 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 28 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 5267275776 = 83160^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is a super-2 number, since 2×12182861376² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12182861371) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 166888476 + ... + 166888548.

Almost surely, 2^12182861376 is an apocalyptic number.

12182861376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12182861376 is the 110376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12182861376

12182861376 is an abundant number, since it is smaller than the sum of its proper divisors (30566901105).

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

12182861376 is an frugal number, since it uses more digits than its factorization.

12182861376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 85 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12182861376 in words is "twelve billion, one hundred eighty-two million, eight hundred sixty-one thousand, three hundred seventy-six".