221231204112040 has 256 divisors, whose sum is σ = 526314672000000. Its totient is φ = 83575900262400.

The previous prime is 221231204112031. The next prime is 221231204112041. The reversal of 221231204112040 is 40211402132122.

221231204112040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221231204111996 and 221231204112014.

It is not an unprimeable number, because it can be changed into a prime (221231204112041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5311525215 + ... + 5311566865.

It is an arithmetic number, because the mean of its divisors is an integer number (2055916687500).

Almost surely, 2^{221231204112040} is an apocalyptic number.

221231204112040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221231204112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263157336000000).

221231204112040 is an abundant number, since it is smaller than the sum of its proper divisors (305083467887960).

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

221231204112040 is a wasteful number, since it uses less digits than its factorization.

221231204112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42308 (or 42304 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 221231204112040 its reverse (40211402132122), we get a palindrome (261442606244162).

The spelling of 221231204112040 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, two hundred four million, one hundred twelve thousand, forty".