221312141431140 has 192 divisors, whose sum is σ = 634737164156928. Its totient is φ = 57589612416000.

The previous prime is 221312141431127. The next prime is 221312141431357. The reversal of 221312141431140 is 41134141213122.

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 = 221312141431098 and 221312141431107.

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, 1904505040 + ... + 1904621240.

It is an arithmetic number, because the mean of its divisors is an integer number (3305922729984).

Almost surely, 2^{221312141431140} is an apocalyptic number.

221312141431140 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 221312141431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317368582078464).

221312141431140 is an abundant number, since it is smaller than the sum of its proper divisors (413425022725788).

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

221312141431140 is a wasteful number, since it uses less digits than its factorization.

221312141431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118258 (or 118256 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 221312141431140 its reverse (41134141213122), we get a palindrome (262446282644262).

The spelling of 221312141431140 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred forty-one million, four hundred thirty-one thousand, one hundred forty".