10128222004800 has 336 divisors, whose sum is σ = 33307505038400. Its totient is φ = 2694488924160.

The previous prime is 10128222004759. The next prime is 10128222004811. The reversal of 10128222004800 is 840022282101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6538554426 + ... + 6538555974.

Almost surely, 2^{10128222004800} is an apocalyptic number.

10128222004800 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 10128222004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653752519200).

10128222004800 is an abundant number, since it is smaller than the sum of its proper divisors (23179283033600).

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

10128222004800 is a wasteful number, since it uses less digits than its factorization.

10128222004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 10128222004800 its reverse (840022282101), we get a palindrome (10968244286901).

The spelling of 10128222004800 in words is "ten trillion, one hundred twenty-eight billion, two hundred twenty-two million, four thousand, eight hundred".