9012004531200 has 3168 divisors, whose sum is σ = 39594633781248. Its totient is φ = 2006581248000.

The previous prime is 9012004531171. The next prime is 9012004531253. The reversal of 9012004531200 is 21354002109.

9012004531200 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 0 + 0 + 453 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 70960665537 + ... + 70960665663.

Almost surely, 2^{9012004531200} is an apocalyptic number.

9012004531200 is a gapful number since it is divisible by the number (90) 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 9012004531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19797316890624).

9012004531200 is an abundant number, since it is smaller than the sum of its proper divisors (30582629250048).

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

9012004531200 is a wasteful number, since it uses less digits than its factorization.

9012004531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 9012004531200 its reverse (21354002109), we get a palindrome (9033358533309).

The spelling of 9012004531200 in words is "nine trillion, twelve billion, four million, five hundred thirty-one thousand, two hundred".