11200121122000 has 160 divisors (see below), whose sum is σ = 27195953990400. Its totient is φ = 4461196608000.

The previous prime is 11200121121983. The next prime is 11200121122019. The reversal of 11200121122000 is 22112100211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501554271 + ... + 1501561729.

It is an arithmetic number, because the mean of its divisors is an integer number (169974712440).

Almost surely, 2^{11200121122000} is an apocalyptic number.

11200121122000 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 11200121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13597976995200).

11200121122000 is an abundant number, since it is smaller than the sum of its proper divisors (15995832868400).

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

11200121122000 is a wasteful number, since it uses less digits than its factorization.

11200121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11200121122000 its reverse (22112100211), we get a palindrome (11222233222211).

The spelling of 11200121122000 in words is "eleven trillion, two hundred billion, one hundred twenty-one million, one hundred twenty-two thousand".