21200211222120 has 1152 divisors, whose sum is σ = 88615196467200. Its totient is φ = 4362106355712.

The previous prime is 21200211222059. The next prime is 21200211222133. The reversal of 21200211222120 is 2122211200212.

It is a happy number.

21200211222120 is a `hidden beast` number, since 21 + 200 + 211 + 22 + 212 + 0 = 666.

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 = 21200211222093 and 21200211222102.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 930516249 + ... + 930539031.

It is an arithmetic number, because the mean of its divisors is an integer number (76922913600).

Almost surely, 2^{21200211222120} is an apocalyptic number.

21200211222120 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 21200211222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44307598233600).

21200211222120 is an abundant number, since it is smaller than the sum of its proper divisors (67414985245080).

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

21200211222120 is a wasteful number, since it uses less digits than its factorization.

21200211222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22967 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21200211222120 its reverse (2122211200212), we get a palindrome (23322422422332).

The spelling of 21200211222120 in words is "twenty-one trillion, two hundred billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".