2200121211120 has 240 divisors, whose sum is σ = 7967112929280. Its totient is φ = 500780087808.

The previous prime is 2200121211091. The next prime is 2200121211157. The reversal of 2200121211120 is 211121210022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2200121211120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200121211120.

It is a congruent number.

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, 2419249 + ... + 3202031.

It is an arithmetic number, because the mean of its divisors is an integer number (33196303872).

Almost surely, 2^{2200121211120} is an apocalyptic number.

2200121211120 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 2200121211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983556464640).

2200121211120 is an abundant number, since it is smaller than the sum of its proper divisors (5766991718160).

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

2200121211120 is a wasteful number, since it uses less digits than its factorization.

2200121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783052 (or 783039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2200121211120 its reverse (211121210022), we get a palindrome (2411242421142).

The spelling of 2200121211120 in words is "two trillion, two hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".