211122012001200 has 120 divisors (see below), whose sum is σ = 676298262736128. Its totient is φ = 56298863197440.

The previous prime is 211122012001181. The next prime is 211122012001217. The reversal of 211122012001200 is 2100210221112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211122012001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245838957 + ... + 246696243.

Almost surely, 2^{211122012001200} is an apocalyptic number.

211122012001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122012001200 is an abundant number, since it is smaller than the sum of its proper divisors (465176250734928).

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

211122012001200 is a wasteful number, since it uses less digits than its factorization.

211122012001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062531 (or 1062520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211122012001200 its reverse (2100210221112), we get a palindrome (213222222222312).

The spelling of 211122012001200 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one thousand, two hundred".