21200011112000 has 336 divisors, whose sum is σ = 61223341561200. Its totient is φ = 7250748825600.

The previous prime is 21200011111973. The next prime is 21200011112029. The reversal of 21200011112000 is 21111000212.

It can be written as a sum of positive squares in 8 ways, for example, as 5694561323584 + 15505449788416 = 2386328^2 + 3937696^2 .

It is a super-2 number, since 2×21200011112000² (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 47 ways as a sum of consecutive naturals, for example, 160261886 + ... + 160394114.

It is an arithmetic number, because the mean of its divisors is an integer number (182212326075).

Almost surely, 2^{21200011112000} is an apocalyptic number.

21200011112000 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 21200011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30611670780600).

21200011112000 is an abundant number, since it is smaller than the sum of its proper divisors (40023330449200).

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

21200011112000 is a wasteful number, since it uses less digits than its factorization.

21200011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132679 (or 132652 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21200011112000 its reverse (21111000212), we get a palindrome (21221122112212).

The spelling of 21200011112000 in words is "twenty-one trillion, two hundred billion, eleven million, one hundred twelve thousand".