211101222112000 has 144 divisors (see below), whose sum is σ = 573686763066144. Its totient is φ = 76764080640000.

The previous prime is 211101222111953. The next prime is 211101222112007. The reversal of 211101222112000 is 211222101112.

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

It is not an unprimeable number, because it can be changed into a prime (211101222112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299507691 + ... + 300211690.

It is an arithmetic number, because the mean of its divisors is an integer number (3983935854626).

Almost surely, 2^{211101222112000} is an apocalyptic number.

211101222112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101222112000 is an abundant number, since it is smaller than the sum of its proper divisors (362585540954144).

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

211101222112000 is an equidigital number, since it uses as much as digits as its factorization.

211101222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599719423 (or 599719399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211101222112000 its reverse (211222101112), we get a palindrome (211312444213112).

The spelling of 211101222112000 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty-two million, one hundred twelve thousand".