120201101200000 has 384 divisors, whose sum is σ = 306434605680000. Its totient is φ = 46946926080000.

The previous prime is 120201101199983. The next prime is 120201101200091. The reversal of 120201101200000 is 2101102021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120201101200000.

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 47 ways as a sum of consecutive naturals, for example, 3516382909 + ... + 3516417091.

It is an arithmetic number, because the mean of its divisors is an integer number (798006785625).

Almost surely, 2^{120201101200000} is an apocalyptic number.

120201101200000 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 120201101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153217302840000).

120201101200000 is an abundant number, since it is smaller than the sum of its proper divisors (186233504480000).

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

120201101200000 is an frugal number, since it uses more digits than its factorization.

120201101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34430 (or 34398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120201101200000 its reverse (2101102021), we get a palindrome (120203202302021).

The spelling of 120201101200000 in words is "one hundred twenty trillion, two hundred one billion, one hundred one million, two hundred thousand".