10224124101200 has 60 divisors (see below), whose sum is σ = 25856271759360. Its totient is φ = 3874404919680.

The previous prime is 10224124101193. The next prime is 10224124101227. The reversal of 10224124101200 is 210142142201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672632144 + ... + 672647343.

It is an arithmetic number, because the mean of its divisors is an integer number (430937862656).

Almost surely, 2^{10224124101200} is an apocalyptic number.

10224124101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224124101200 is an abundant number, since it is smaller than the sum of its proper divisors (15632147658160).

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

10224124101200 is a wasteful number, since it uses less digits than its factorization.

10224124101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345279524 (or 1345279513 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10224124101200 its reverse (210142142201), we get a palindrome (10434266243401).

The spelling of 10224124101200 in words is "ten trillion, two hundred twenty-four billion, one hundred twenty-four million, one hundred one thousand, two hundred".