11200012000020 has 384 divisors, whose sum is σ = 35729741537280. Its totient is φ = 2911335436800.

The previous prime is 11200012000013. The next prime is 11200012000057. The reversal of 11200012000020 is 2000021000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11200011999966 and 11200012000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10656528495 + ... + 10656529545.

It is an arithmetic number, because the mean of its divisors is an integer number (93046201920).

Almost surely, 2^{11200012000020} is an apocalyptic number.

11200012000020 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 11200012000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864870768640).

11200012000020 is an abundant number, since it is smaller than the sum of its proper divisors (24529729537260).

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

11200012000020 is a wasteful number, since it uses less digits than its factorization.

11200012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200012000020 its reverse (2000021000211), we get a palindrome (13200033000231).

The spelling of 11200012000020 in words is "eleven trillion, two hundred billion, twelve million, twenty", and thus it is an aban number.