12364020144 has 200 divisors, whose sum is σ = 40969322240. Its totient is φ = 3526353792.

The previous prime is 12364020143. The next prime is 12364020161. The reversal of 12364020144 is 44102046321.

It is a happy number.

12364020144 is a `hidden beast` number, since 1 + 2 + 3 + 640 + 2 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12364020143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8336427 + ... + 8337909.

Almost surely, 2^12364020144 is an apocalyptic number.

12364020144 is a gapful number since it is divisible by the number (14) 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 12364020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484661120).

12364020144 is an abundant number, since it is smaller than the sum of its proper divisors (28605302096).

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

12364020144 is a wasteful number, since it uses less digits than its factorization.

12364020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12364020144 its reverse (44102046321), we get a palindrome (56466066465).

The spelling of 12364020144 in words is "twelve billion, three hundred sixty-four million, twenty thousand, one hundred forty-four".