1000224024120 has 96 divisors (see below), whose sum is σ = 3250869869520. Its totient is φ = 266714772480.

The previous prime is 1000224024103. The next prime is 1000224024157. The reversal of 1000224024120 is 214204220001.

Added to its reverse (214204220001) it gives a square (1214428244121 = 1102011²).

1000224024120 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 240 + 2 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1000224024093 and 1000224024102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11009280 + ... + 11099760.

Almost surely, 2^{1000224024120} is an apocalyptic number.

1000224024120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000224024120 is an abundant number, since it is smaller than the sum of its proper divisors (2250645845400).

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

1000224024120 is a wasteful number, since it uses less digits than its factorization.

1000224024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121205 (or 121198 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1000224024120 its reverse (214204220001), we get a palindrome (1214428244121).

The spelling of 1000224024120 in words is "one trillion, two hundred twenty-four million, twenty-four thousand, one hundred twenty".