21120211221120 has 384 divisors, whose sum is σ = 79700268098880. Its totient is φ = 5111075635200.

The previous prime is 21120211221119. The next prime is 21120211221163. The reversal of 21120211221120 is 2112211202112.

21120211221120 is a `hidden beast` number, since 2 + 112 + 0 + 211 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21120211221093 and 21120211221102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35886672 + ... + 36470448.

Almost surely, 2^{21120211221120} is an apocalyptic number.

21120211221120 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 21120211221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39850134049440).

21120211221120 is an abundant number, since it is smaller than the sum of its proper divisors (58580056877760).

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

21120211221120 is a wasteful number, since it uses less digits than its factorization.

21120211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584384 (or 584369 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21120211221120 its reverse (2112211202112), we get a palindrome (23232422423232).

The spelling of 21120211221120 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".