120201133101200 has 240 divisors, whose sum is σ = 299742635856576. Its totient is φ = 46288740556800.

The previous prime is 120201133101197. The next prime is 120201133101251. The reversal of 120201133101200 is 2101331102021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972517132 + ... + 1972578068.

Almost surely, 2^{120201133101200} is an apocalyptic number.

120201133101200 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 120201133101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149871317928288).

120201133101200 is an abundant number, since it is smaller than the sum of its proper divisors (179541502755376).

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

120201133101200 is a wasteful number, since it uses less digits than its factorization.

120201133101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62642 (or 62631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 120201133101200 its reverse (2101331102021), we get a palindrome (122302464203221).

The spelling of 120201133101200 in words is "one hundred twenty trillion, two hundred one billion, one hundred thirty-three million, one hundred one thousand, two hundred".