120120201200010 has 256 divisors, whose sum is σ = 317233583751168. Its totient is φ = 28867578854400.

The previous prime is 120120201199967. The next prime is 120120201200033. The reversal of 120120201200010 is 10002102021021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76656158247 + ... + 76656159813.

It is an arithmetic number, because the mean of its divisors is an integer number (1239193686528).

Almost surely, 2^{120120201200010} is an apocalyptic number.

120120201200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120201200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158616791875584).

120120201200010 is an abundant number, since it is smaller than the sum of its proper divisors (197113382551158).

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

120120201200010 is a wasteful number, since it uses less digits than its factorization.

120120201200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120120201200010 its reverse (10002102021021), we get a palindrome (130122303221031).

The spelling of 120120201200010 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred one million, two hundred thousand, ten".