120120221010200 has 96 divisors (see below), whose sum is σ = 281815325120160. Its totient is φ = 47612013926400.

The previous prime is 120120221010191. The next prime is 120120221010217. The reversal of 120120221010200 is 2010122021021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98767805 + ... + 99976595.

It is an arithmetic number, because the mean of its divisors is an integer number (2935576303335).

Almost surely, 2^{120120221010200} is an apocalyptic number.

120120221010200 is a gapful number since it is divisible by the number (10) 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 120120221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140907662560080).

120120221010200 is an abundant number, since it is smaller than the sum of its proper divisors (161695104109960).

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

120120221010200 is a wasteful number, since it uses less digits than its factorization.

120120221010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213317 (or 1213308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120120221010200 its reverse (2010122021021), we get a palindrome (122130343031221).

The spelling of 120120221010200 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twenty-one million, ten thousand, two hundred".