12164120640 has 252 divisors, whose sum is σ = 48671011116. Its totient is φ = 2780338176.

The previous prime is 12164120627. The next prime is 12164120729. The reversal of 12164120640 is 4602146121.

12164120640 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 12 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1454354496 + 10709766144 = 38136^2 + 103488^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98022 + ... + 184218.

It is an arithmetic number, because the mean of its divisors is an integer number (193138933).

Almost surely, 2^12164120640 is an apocalyptic number.

12164120640 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 12164120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335505558).

12164120640 is an abundant number, since it is smaller than the sum of its proper divisors (36506890476).

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

12164120640 is a wasteful number, since it uses less digits than its factorization.

12164120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86234 (or 86214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12164120640 its reverse (4602146121), we get a palindrome (16766266761).

The spelling of 12164120640 in words is "twelve billion, one hundred sixty-four million, one hundred twenty thousand, six hundred forty".