412221231321400 has 96 divisors (see below), whose sum is σ = 978818434200000. Its totient is φ = 161378202667520.

The previous prime is 412221231321377. The next prime is 412221231321407. The reversal of 412221231321400 is 4123132122214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412221231321407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909213966 + ... + 909667234.

It is an arithmetic number, because the mean of its divisors is an integer number (10196025356250).

Almost surely, 2^{412221231321400} is an apocalyptic number.

412221231321400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412221231321400 is an abundant number, since it is smaller than the sum of its proper divisors (566597202878600).

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

412221231321400 is a wasteful number, since it uses less digits than its factorization.

412221231321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550081 (or 550072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 412221231321400 its reverse (4123132122214), we get a palindrome (416344363443614).

The spelling of 412221231321400 in words is "four hundred twelve trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred twenty-one thousand, four hundred".