21220212200000 has 336 divisors, whose sum is σ = 57477934051776. Its totient is φ = 7708320000000.

The previous prime is 21220212199931. The next prime is 21220212200003. The reversal of 21220212200000 is 221202212.

It is not an unprimeable number, because it can be changed into a prime (21220212200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334195455 + ... + 2334204545.

It is an arithmetic number, because the mean of its divisors is an integer number (171065279916).

Almost surely, 2^{21220212200000} is an apocalyptic number.

21220212200000 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 21220212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28738967025888).

21220212200000 is an abundant number, since it is smaller than the sum of its proper divisors (36257721851776).

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

21220212200000 is an equidigital number, since it uses as much as digits as its factorization.

21220212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21220212200000 its reverse (221202212), we get a palindrome (21220433402212).

It can be divided in two parts, 21220 and 212200000, that multiplied together give a square (4502884000000 = 2122000²).

The spelling of 21220212200000 in words is "twenty-one trillion, two hundred twenty billion, two hundred twelve million, two hundred thousand".