21220012001120 has 192 divisors, whose sum is σ = 53859938622336. Its totient is φ = 7880718827520.

The previous prime is 21220012001117. The next prime is 21220012001159. The reversal of 21220012001120 is 2110021002212.

It is a super-3 number, since 3×21220012001120³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21220012001095 and 21220012001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29366402 + ... + 30080318.

It is an arithmetic number, because the mean of its divisors is an integer number (280520513658).

Almost surely, 2^{21220012001120} is an apocalyptic number.

21220012001120 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 21220012001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929969311168).

21220012001120 is an abundant number, since it is smaller than the sum of its proper divisors (32639926621216).

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

21220012001120 is a wasteful number, since it uses less digits than its factorization.

21220012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714193 (or 714185 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21220012001120 its reverse (2110021002212), we get a palindrome (23330033003332).

The spelling of 21220012001120 in words is "twenty-one trillion, two hundred twenty billion, twelve million, one thousand, one hundred twenty".