10001235200000 has 576 divisors, whose sum is σ = 28706672030400. Its totient is φ = 3444940800000.

The previous prime is 10001235199937. The next prime is 10001235200027. The reversal of 10001235200000 is 253210001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337596262 + ... + 1337603738.

It is an arithmetic number, because the mean of its divisors is an integer number (49837972275).

Almost surely, 2^{10001235200000} is an apocalyptic number.

10001235200000 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 10001235200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353336015200).

10001235200000 is an abundant number, since it is smaller than the sum of its proper divisors (18705436830400).

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

10001235200000 is an frugal number, since it uses more digits than its factorization.

10001235200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 10001235200000 its reverse (253210001), we get a palindrome (10001488410001).

The spelling of 10001235200000 in words is "ten trillion, one billion, two hundred thirty-five million, two hundred thousand".