200212211201120 has 96 divisors (see below), whose sum is σ = 476078781824352. Its totient is φ = 79564200210432.

The previous prime is 200212211201047. The next prime is 200212211201137. The reversal of 200212211201120 is 21102112212002.

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 15 ways as a sum of consecutive naturals, for example, 69340214 + ... + 72169866.

It is an arithmetic number, because the mean of its divisors is an integer number (4959153977337).

Almost surely, 2^{200212211201120} is an apocalyptic number.

200212211201120 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 200212211201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238039390912176).

200212211201120 is an abundant number, since it is smaller than the sum of its proper divisors (275866570623232).

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

200212211201120 is a wasteful number, since it uses less digits than its factorization.

200212211201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832544 (or 2832536 counting only the distinct ones).

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

Adding to 200212211201120 its reverse (21102112212002), we get a palindrome (221314323413122).

The spelling of 200212211201120 in words is "two hundred trillion, two hundred twelve billion, two hundred eleven million, two hundred one thousand, one hundred twenty".