211220202000000 has 448 divisors, whose sum is σ = 703195733354400. Its totient is φ = 56173785600000.

The previous prime is 211220201999993. The next prime is 211220202000001. The reversal of 211220202000000 is 202022112.

It is a super-2 number, since 2×211220202000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 211220202000000.

It is not an unprimeable number, because it can be changed into a prime (211220202000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2237952811 + ... + 2238047189.

Almost surely, 2^{211220202000000} is an apocalyptic number.

211220202000000 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 211220202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351597866677200).

211220202000000 is an abundant number, since it is smaller than the sum of its proper divisors (491975531354400).

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

211220202000000 is an frugal number, since it uses more digits than its factorization.

211220202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94799 (or 94762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 211220202000000 its reverse (202022112), we get a palindrome (211220404022112).

The spelling of 211220202000000 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred two million", and thus it is an aban number.