12182077440 has 720 divisors, whose sum is σ = 48090422016. Its totient is φ = 2831155200.

The previous prime is 12182077421. The next prime is 12182077477. The reversal of 12182077440 is 4477028121.

12182077440 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 207 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 12182077395 and 12182077404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297123820 + ... + 297123860.

Almost surely, 2^12182077440 is an apocalyptic number.

12182077440 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 12182077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045211008).

12182077440 is an abundant number, since it is smaller than the sum of its proper divisors (35908344576).

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

12182077440 is a wasteful number, since it uses less digits than its factorization.

12182077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 12182077440 in words is "twelve billion, one hundred eighty-two million, seventy-seven thousand, four hundred forty".