10012130233200 has 720 divisors, whose sum is σ = 37205073484800. Its totient is φ = 2485881446400.

The previous prime is 10012130233177. The next prime is 10012130233201. The reversal of 10012130233200 is 233203121001.

10012130233200 is a `hidden beast` number, since 10 + 0 + 1 + 21 + 302 + 332 + 0 + 0 = 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012130233201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2195158920 + ... + 2195163480.

Almost surely, 2^{10012130233200} is an apocalyptic number.

10012130233200 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 10012130233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602536742400).

10012130233200 is an abundant number, since it is smaller than the sum of its proper divisors (27192943251600).

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

10012130233200 is a wasteful number, since it uses less digits than its factorization.

10012130233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10012130233200 its reverse (233203121001), we get a palindrome (10245333354201).

The spelling of 10012130233200 in words is "ten trillion, twelve billion, one hundred thirty million, two hundred thirty-three thousand, two hundred".