120120001201200 has 960 divisors, whose sum is σ = 547023910228992. Its totient is φ = 21684702412800.

The previous prime is 120120001201199. The next prime is 120120001201243. The reversal of 120120001201200 is 2102100021021.

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, 17479224 + ... + 23361576.

Almost surely, 2^{120120001201200} is an apocalyptic number.

120120001201200 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 120120001201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273511955114496).

120120001201200 is an abundant number, since it is smaller than the sum of its proper divisors (426903909027792).

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

120120001201200 is a wasteful number, since it uses less digits than its factorization.

120120001201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882422 (or 5882411 counting only the distinct ones).

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

Adding to 120120001201200 its reverse (2102100021021), we get a palindrome (122222101222221).

The spelling of 120120001201200 in words is "one hundred twenty trillion, one hundred twenty billion, one million, two hundred one thousand, two hundred".