36012412800 has 1296 divisors, whose sum is σ = 162935140680. Its totient is φ = 7547904000.

The previous prime is 36012412759. The next prime is 36012412801. The reversal of 36012412800 is 821421063.

36012412800 is a `hidden beast` number, since 360 + 1 + 24 + 1 + 280 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36012412801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 238492725 + ... + 238492875.

Almost surely, 2^36012412800 is an apocalyptic number.

36012412800 is a gapful number since it is divisible by the number (30) 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 36012412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81467570340).

36012412800 is an abundant number, since it is smaller than the sum of its proper divisors (126922727880).

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

36012412800 is a wasteful number, since it uses less digits than its factorization.

36012412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 181 counting only the distinct ones).

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

Adding to 36012412800 its reverse (821421063), we get a palindrome (36833833863).

The spelling of 36012412800 in words is "thirty-six billion, twelve million, four hundred twelve thousand, eight hundred".