322412120400 has 120 divisors (see below), whose sum is σ = 1048208581984. Its totient is φ = 84693312000.

The previous prime is 322412120357. The next prime is 322412120453. The reversal of 322412120400 is 4021214223.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924651 + ... + 2085450.

Almost surely, 2^322412120400 is an apocalyptic number.

322412120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322412120400 is an abundant number, since it is smaller than the sum of its proper divisors (725796461584).

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

322412120400 is a wasteful number, since it uses less digits than its factorization.

322412120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010189 (or 4010178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 322412120400 its reverse (4021214223), we get a palindrome (326433334623).

The spelling of 322412120400 in words is "three hundred twenty-two billion, four hundred twelve million, one hundred twenty thousand, four hundred".