10203312224000 has 576 divisors, whose sum is σ = 30122638221312. Its totient is φ = 3369996288000.

The previous prime is 10203312223987. The next prime is 10203312224003. The reversal of 10203312224000 is 42221330201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203312224003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576284764 + ... + 1576291236.

It is an arithmetic number, because the mean of its divisors is an integer number (52296246912).

Almost surely, 2^{10203312224000} is an apocalyptic number.

10203312224000 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 10203312224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061319110656).

10203312224000 is an abundant number, since it is smaller than the sum of its proper divisors (19919325997312).

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

10203312224000 is an equidigital number, since it uses as much as digits as its factorization.

10203312224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10203312224000 its reverse (42221330201), we get a palindrome (10245533554201).

The spelling of 10203312224000 in words is "ten trillion, two hundred three billion, three hundred twelve million, two hundred twenty-four thousand".