211103120000 has 160 divisors (see below), whose sum is σ = 527103538500. Its totient is φ = 84188160000.

The previous prime is 211103119993. The next prime is 211103120021. The reversal of 211103120000 is 21301112.

It can be written as a sum of positive squares in 10 ways, for example, as 18424261696 + 192678858304 = 135736^2 + 438952^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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, 27916220 + ... + 27923780.

Almost surely, 2^211103120000 is an apocalyptic number.

211103120000 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 211103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263551769250).

211103120000 is an abundant number, since it is smaller than the sum of its proper divisors (316000418500).

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

211103120000 is an frugal number, since it uses more digits than its factorization.

211103120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 211103120000 its reverse (21301112), we get a palindrome (211124421112).

The spelling of 211103120000 in words is "two hundred eleven billion, one hundred three million, one hundred twenty thousand".