221312233120 has 288 divisors, whose sum is σ = 583358984208. Its totient is φ = 79276032000.

The previous prime is 221312233091. The next prime is 221312233133. The reversal of 221312233120 is 21332213122.

221312233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22763567376 + 198548665744 = 150876^2 + 445588^2 .

It is a super-2 number, since 2×221312233120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221312233091 and 221312233100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480069690 + ... + 480070150.

Almost surely, 2^221312233120 is an apocalyptic number.

221312233120 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 221312233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291679492104).

221312233120 is an abundant number, since it is smaller than the sum of its proper divisors (362046751088).

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

221312233120 is a wasteful number, since it uses less digits than its factorization.

221312233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221312233120 its reverse (21332213122), we get a palindrome (242644446242).

The spelling of 221312233120 in words is "two hundred twenty-one billion, three hundred twelve million, two hundred thirty-three thousand, one hundred twenty".