200212210121120 has 96 divisors (see below), whose sum is σ = 475135149888000. Its totient is φ = 79723624412160.

The previous prime is 200212210121111. The next prime is 200212210121129. The reversal of 200212210121120 is 21121012212002.

200212210121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200212210121111) and next prime (200212210121129).

It is not an unprimeable number, because it can be changed into a prime (200212210121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479398506 + ... + 2479479254.

It is an arithmetic number, because the mean of its divisors is an integer number (4949324478000).

Almost surely, 2^{200212210121120} is an apocalyptic number.

200212210121120 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 200212210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237567574944000).

200212210121120 is an abundant number, since it is smaller than the sum of its proper divisors (274922939766880).

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

200212210121120 is a wasteful number, since it uses less digits than its factorization.

200212210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150478 (or 150470 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200212210121120 its reverse (21121012212002), we get a palindrome (221333222333122).

The spelling of 200212210121120 in words is "two hundred trillion, two hundred twelve billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".