211221221020000 has 120 divisors (see below), whose sum is σ = 537554367226800. Its totient is φ = 81575092032000.

The previous prime is 211221221019997. The next prime is 211221221020013. The reversal of 211221221020000 is 20122122112.

It is a happy number.

It is a super-2 number, since 2×211221221020000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181507260 + ... + 182667259.

It is an arithmetic number, because the mean of its divisors is an integer number (4479619726890).

Almost surely, 2^{211221221020000} is an apocalyptic number.

211221221020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221221020000 is an abundant number, since it is smaller than the sum of its proper divisors (326333146206800).

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

211221221020000 is an equidigital number, since it uses as much as digits as its factorization.

211221221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364174578 (or 364174555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211221221020000 its reverse (20122122112), we get a palindrome (211241343142112).

The spelling of 211221221020000 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand".