200120220111120 has 320 divisors, whose sum is σ = 639374637404160. Its totient is φ = 51747592089600.

The previous prime is 200120220111109. The next prime is 200120220111121. The reversal of 200120220111120 is 21111022021002.

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 200120220111120.

It is not an unprimeable number, because it can be changed into a prime (200120220111121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117232607 + ... + 1117411713.

It is an arithmetic number, because the mean of its divisors is an integer number (1998045741888).

Almost surely, 2^{200120220111120} is an apocalyptic number.

200120220111120 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 200120220111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319687318702080).

200120220111120 is an abundant number, since it is smaller than the sum of its proper divisors (439254417293040).

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

200120220111120 is a wasteful number, since it uses less digits than its factorization.

200120220111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179854 (or 179848 counting only the distinct ones).

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

Adding to 200120220111120 its reverse (21111022021002), we get a palindrome (221231242132122).

The spelling of 200120220111120 in words is "two hundred trillion, one hundred twenty billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".