10012033200000 has 576 divisors, whose sum is σ = 35995368805200. Its totient is φ = 2464450560000.

The previous prime is 10012033199947. The next prime is 10012033200007. The reversal of 10012033200000 is 233021001.

It is a happy number.

10012033200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012033200007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202775316 + ... + 202824684.

Almost surely, 2^{10012033200000} is an apocalyptic number.

10012033200000 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 10012033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997684402600).

10012033200000 is an abundant number, since it is smaller than the sum of its proper divisors (25983335605200).

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

10012033200000 is an frugal number, since it uses more digits than its factorization.

10012033200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49437 (or 49392 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10012033200000 its reverse (233021001), we get a palindrome (10012266221001).

The spelling of 10012033200000 in words is "ten trillion, twelve billion, thirty-three million, two hundred thousand".