221124104252040 has 256 divisors, whose sum is σ = 766284986880000. Its totient is φ = 50450138542080.

The previous prime is 221124104252011. The next prime is 221124104252059. The reversal of 221124104252040 is 40252401421122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221124104251989 and 221124104252007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490290561 + ... + 490741359.

It is an arithmetic number, because the mean of its divisors is an integer number (2993300730000).

Almost surely, 2^{221124104252040} is an apocalyptic number.

221124104252040 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 221124104252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383142493440000).

221124104252040 is an abundant number, since it is smaller than the sum of its proper divisors (545160882627960).

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

221124104252040 is a wasteful number, since it uses less digits than its factorization.

221124104252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472700 (or 472696 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 221124104252040 its reverse (40252401421122), we get a palindrome (261376505673162).

The spelling of 221124104252040 in words is "two hundred twenty-one trillion, one hundred twenty-four billion, one hundred four million, two hundred fifty-two thousand, forty".