11212100222000 has 320 divisors, whose sum is σ = 29045730954240. Its totient is φ = 4173638400000.

The previous prime is 11212100221999. The next prime is 11212100222069. The reversal of 11212100222000 is 22200121211.

It is a super-2 number, since 2×11212100222000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 696265949 + ... + 696282051.

It is an arithmetic number, because the mean of its divisors is an integer number (90767909232).

Almost surely, 2^{11212100222000} is an apocalyptic number.

11212100222000 is a gapful number since it is divisible by the number (10) 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 11212100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522865477120).

11212100222000 is an abundant number, since it is smaller than the sum of its proper divisors (17833630732240).

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

11212100222000 is a wasteful number, since it uses less digits than its factorization.

11212100222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212100222000 its reverse (22200121211), we get a palindrome (11234300343211).

The spelling of 11212100222000 in words is "eleven trillion, two hundred twelve billion, one hundred million, two hundred twenty-two thousand".