211313222120000 has 1120 divisors, whose sum is σ = 710515793965824. Its totient is φ = 60194304000000.

The previous prime is 211313222119903. The next prime is 211313222120017. The reversal of 211313222120000 is 21222313112.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4044013874 + ... + 4044066126.

Almost surely, 2^{211313222120000} is an apocalyptic number.

211313222120000 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 211313222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355257896982912).

211313222120000 is an abundant number, since it is smaller than the sum of its proper divisors (499202571845824).

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

211313222120000 is a wasteful number, since it uses less digits than its factorization.

211313222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52417 (or 52392 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211313222120000 its reverse (21222313112), we get a palindrome (211334444433112).

The spelling of 211313222120000 in words is "two hundred eleven trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred twenty thousand".