2112121120200 has 768 divisors, whose sum is σ = 8295375728640. Its totient is φ = 432594432000.

The previous prime is 2112121120189. The next prime is 2112121120231. The reversal of 2112121120200 is 20211212112.

It is a super-2 number, since 2×2112121120200² (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 2112121120200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1153533285 + ... + 1153535115.

It is an arithmetic number, because the mean of its divisors is an integer number (10801270480).

Almost surely, 2^{2112121120200} is an apocalyptic number.

2112121120200 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 2112121120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147687864320).

2112121120200 is an abundant number, since it is smaller than the sum of its proper divisors (6183254608440).

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

2112121120200 is a wasteful number, since it uses less digits than its factorization.

2112121120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2469 counting only the distinct ones).

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

Adding to 2112121120200 its reverse (20211212112), we get a palindrome (2132332332312).

The spelling of 2112121120200 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".