412321112320 has 72 divisors (see below), whose sum is σ = 1063610104536. Its totient is φ = 152241635328.

The previous prime is 412321112303. The next prime is 412321112341. The reversal of 412321112320 is 23211123214.

It can be written as a sum of positive squares in 4 ways, for example, as 4276113664 + 408044998656 = 65392^2 + 638784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412321112291 and 412321112300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12372817 + ... + 12406096.

It is an arithmetic number, because the mean of its divisors is an integer number (14772362563).

Almost surely, 2^412321112320 is an apocalyptic number.

412321112320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412321112320 is an abundant number, since it is smaller than the sum of its proper divisors (651288992216).

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

412321112320 is a wasteful number, since it uses less digits than its factorization.

412321112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24778947 (or 24778933 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 412321112320 its reverse (23211123214), we get a palindrome (435532235534).

The spelling of 412321112320 in words is "four hundred twelve billion, three hundred twenty-one million, one hundred twelve thousand, three hundred twenty".