1000122321 has 16 divisors (see below), whose sum is σ = 1494042048. Its totient is φ = 589752000.

The previous prime is 1000122313. The next prime is 1000122367. The reversal of 1000122321 is 1232210001.

It is not a de Polignac number, because 1000122321 - 2³ = 1000122313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000122297 and 1000122306.

It is not an unprimeable number, because it can be changed into a prime (1000122421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408330 + ... + 410771.

It is an arithmetic number, because the mean of its divisors is an integer number (93377628).

Almost surely, 2^1000122321 is an apocalyptic number.

1000122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000122321 is a deficient number, since it is larger than the sum of its proper divisors (493919727).

1000122321 is a wasteful number, since it uses less digits than its factorization.

1000122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819152.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1000122321 is about 31624.7106073716. The cubic root of 1000122321 is about 1000.0407720043.

Adding to 1000122321 its reverse (1232210001), we get a palindrome (2232332322).

It can be divided in two parts, 1000 and 122321, that added together give a palindrome (123321).

The spelling of 1000122321 in words is "one billion, one hundred twenty-two thousand, three hundred twenty-one".