11212112021200 has 60 divisors (see below), whose sum is σ = 26938468601100. Its totient is φ = 4484616801280.

The previous prime is 11212112021177. The next prime is 11212112021221. The reversal of 11212112021200 is 212021121211.

It can be written as a sum of positive squares in 6 ways, for example, as 193589440144 + 11018522581056 = 439988^2 + 3319416^2 .

It is a super-2 number, since 2×11212112021200² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7277052 + ... + 8682148.

It is an arithmetic number, because the mean of its divisors is an integer number (448974476685).

Almost surely, 2^{11212112021200} is an apocalyptic number.

11212112021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212112021200 is an abundant number, since it is smaller than the sum of its proper divisors (15726356579900).

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

11212112021200 is a wasteful number, since it uses less digits than its factorization.

11212112021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425064 (or 1425053 counting only the distinct ones).

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

Adding to 11212112021200 its reverse (212021121211), we get a palindrome (11424133142411).

The spelling of 11212112021200 in words is "eleven trillion, two hundred twelve billion, one hundred twelve million, twenty-one thousand, two hundred".