21220202212000 has 1536 divisors, whose sum is σ = 63869759815680. Its totient is φ = 6899904000000.

The previous prime is 21220202211973. The next prime is 21220202212103. The reversal of 21220202212000 is 21220202212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 210101011950 + ... + 210101012050.

It is an arithmetic number, because the mean of its divisors is an integer number (41581874880).

Almost surely, 2^{21220202212000} is an apocalyptic number.

21220202212000 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 21220202212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31934879907840).

21220202212000 is an abundant number, since it is smaller than the sum of its proper divisors (42649557603680).

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

21220202212000 is a wasteful number, since it uses less digits than its factorization.

21220202212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21220202212000 its reverse (21220202212), we get a palindrome (21241422414212).

21220202212000 divided by its reverse (21220202212) gives a cube (1000 = 10³).

The spelling of 21220202212000 in words is "twenty-one trillion, two hundred twenty billion, two hundred two million, two hundred twelve thousand".