1000224121 has 8 divisors (see below), whose sum is σ = 1140527304. Its totient is φ = 868972800.

The previous prime is 1000224103. The next prime is 1000224143. The reversal of 1000224121 is 1214220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 968143225 = 5664^2 + 31115^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000224121 - 2¹³ = 1000215929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000224101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2262730 + ... + 2263171.

It is an arithmetic number, because the mean of its divisors is an integer number (142565913).

Almost surely, 2^1000224121 is an apocalyptic number.

It is an amenable number.

1000224121 is a deficient number, since it is larger than the sum of its proper divisors (140303183).

1000224121 is a wasteful number, since it uses less digits than its factorization.

1000224121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525931.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1000224121 is about 31626.3200673110. The cubic root of 1000224121 is about 1000.0747014196.

Adding to 1000224121 its reverse (1214220001), we get a palindrome (2214444122).

The spelling of 1000224121 in words is "one billion, two hundred twenty-four thousand, one hundred twenty-one".