120201223130000 has 150 divisors (see below), whose sum is σ = 294749751679614. Its totient is φ = 47471850816000.

The previous prime is 120201223129979. The next prime is 120201223130077. The reversal of 120201223130000 is 31322102021.

120201223130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 35926693356544 + 84274529773456 = 5993888^2 + 9180116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61447004 + ... + 63372996.

Almost surely, 2^{120201223130000} is an apocalyptic number.

120201223130000 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 120201223130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374875839807).

120201223130000 is an abundant number, since it is smaller than the sum of its proper divisors (174548528549614).

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

120201223130000 is an frugal number, since it uses more digits than its factorization.

120201223130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926179 (or 1926079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120201223130000 its reverse (31322102021), we get a palindrome (120232545232021).

The spelling of 120201223130000 in words is "one hundred twenty trillion, two hundred one billion, two hundred twenty-three million, one hundred thirty thousand".