120002001121200 has 960 divisors, whose sum is σ = 445368330173952. Its totient is φ = 27356191948800.

The previous prime is 120002001121199. The next prime is 120002001121241. The reversal of 120002001121200 is 2121100200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1734273804 + ... + 1734342996.

Almost surely, 2^{120002001121200} is an apocalyptic number.

120002001121200 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 120002001121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222684165086976).

120002001121200 is an abundant number, since it is smaller than the sum of its proper divisors (325366329052752).

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

120002001121200 is a wasteful number, since it uses less digits than its factorization.

120002001121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69382 (or 69371 counting only the distinct ones).

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

Adding to 120002001121200 its reverse (2121100200021), we get a palindrome (122123101321221).

The spelling of 120002001121200 in words is "one hundred twenty trillion, two billion, one million, one hundred twenty-one thousand, two hundred".