21120211200012 has 192 divisors, whose sum is σ = 53309579635200. Its totient is φ = 6495836497920.

The previous prime is 21120211199963. The next prime is 21120211200017. The reversal of 21120211200012 is 21000211202112.

It is a super-2 number, since 2×21120211200012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21120211199964 and 21120211200000.

It is not an unprimeable number, because it can be changed into a prime (21120211200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103724439 + ... + 103927857.

It is an arithmetic number, because the mean of its divisors is an integer number (277654060600).

Almost surely, 2^{21120211200012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120211200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26654789817600).

21120211200012 is an abundant number, since it is smaller than the sum of its proper divisors (32189368435188).

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

21120211200012 is a wasteful number, since it uses less digits than its factorization.

21120211200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203656 (or 203654 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21120211200012 its reverse (21000211202112), we get a palindrome (42120422402124).

The spelling of 21120211200012 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred thousand, twelve".