200120221000000 has 1568 divisors, whose sum is σ = 609348360241152. Its totient is φ = 63763200000000.

The previous prime is 200120220999949. The next prime is 200120221000009. The reversal of 200120221000000 is 122021002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120221000009) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 738450999865 + ... + 738451000135.

It is an arithmetic number, because the mean of its divisors is an integer number (388615025664).

Almost surely, 2^{200120221000000} is an apocalyptic number.

200120221000000 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 200120221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304674180120576).

200120221000000 is an abundant number, since it is smaller than the sum of its proper divisors (409228139241152).

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

200120221000000 is an frugal number, since it uses more digits than its factorization.

200120221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200120221000000 its reverse (122021002), we get a palindrome (200120343021002).

The spelling of 200120221000000 in words is "two hundred trillion, one hundred twenty billion, two hundred twenty-one million", and thus it is an aban number.